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Finding the Fourth Proportional to 3,588.01, 5,382.02 and 1,123

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Solution

The fourth proportional to 3,588.01, 5,382.02 and 1,123 is: 1,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.01 : 5,382.02 = 1,123 : x
  2. Step 2: Convert to fraction form
    3,588.01/5,382.02 = 1,123/x
  3. Step 3: Cross multiply
    3,588.01x = 5,382.02 × 1,123
  4. Step 4: Simplify right side
    3,588.01x = 6,044,008.46
  5. Step 5: Solve for x
    x = 6,044,008.46/3,588.01
  6. Step 6: Final answer
    x = 1,684.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.