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Finding the Fourth Proportional to 3,129.71, 4,695.25 and 938.27

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Solution

The fourth proportional to 3,129.71, 4,695.25 and 938.27 is: 1,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.71 : 4,695.25 = 938.27 : x
  2. Step 2: Convert to fraction form
    3,129.71/4,695.25 = 938.27/x
  3. Step 3: Cross multiply
    3,129.71x = 4,695.25 × 938.27
  4. Step 4: Simplify right side
    3,129.71x = 4,405,386.40
  5. Step 5: Solve for x
    x = 4,405,386.40/3,129.71
  6. Step 6: Final answer
    x = 1,407.60

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