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Finding the Fourth Proportional to 3,718.68, 5,132.10 and 2,147.28

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Solution

The fourth proportional to 3,718.68, 5,132.10 and 2,147.28 is: 2,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.68 : 5,132.10 = 2,147.28 : x
  2. Step 2: Convert to fraction form
    3,718.68/5,132.10 = 2,147.28/x
  3. Step 3: Cross multiply
    3,718.68x = 5,132.10 × 2,147.28
  4. Step 4: Simplify right side
    3,718.68x = 11,020,055.69
  5. Step 5: Solve for x
    x = 11,020,055.69/3,718.68
  6. Step 6: Final answer
    x = 2,963.43

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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.