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Finding the Fourth Proportional to 3,731.90, 5,150.28 and 2,470.76

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Solution

The fourth proportional to 3,731.90, 5,150.28 and 2,470.76 is: 3,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.90 : 5,150.28 = 2,470.76 : x
  2. Step 2: Convert to fraction form
    3,731.90/5,150.28 = 2,470.76/x
  3. Step 3: Cross multiply
    3,731.90x = 5,150.28 × 2,470.76
  4. Step 4: Simplify right side
    3,731.90x = 12,725,105.81
  5. Step 5: Solve for x
    x = 12,725,105.81/3,731.90
  6. Step 6: Final answer
    x = 3,409.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.