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Finding the Fourth Proportional to 3,897.34, 5,846.01 and 975.65

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Solution

The fourth proportional to 3,897.34, 5,846.01 and 975.65 is: 1,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.34 : 5,846.01 = 975.65 : x
  2. Step 2: Convert to fraction form
    3,897.34/5,846.01 = 975.65/x
  3. Step 3: Cross multiply
    3,897.34x = 5,846.01 × 975.65
  4. Step 4: Simplify right side
    3,897.34x = 5,703,635.00
  5. Step 5: Solve for x
    x = 5,703,635.00/3,897.34
  6. Step 6: Final answer
    x = 1,463.47

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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.