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Finding the Fourth Proportional to 3,588.88, 5,383.50 and 1,123.70

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Solution

The fourth proportional to 3,588.88, 5,383.50 and 1,123.70 is: 1,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.88 : 5,383.50 = 1,123.70 : x
  2. Step 2: Convert to fraction form
    3,588.88/5,383.50 = 1,123.70/x
  3. Step 3: Cross multiply
    3,588.88x = 5,383.50 × 1,123.70
  4. Step 4: Simplify right side
    3,588.88x = 6,049,438.95
  5. Step 5: Solve for x
    x = 6,049,438.95/3,588.88
  6. Step 6: Final answer
    x = 1,685.61

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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.