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Finding the Fourth Proportional to 5,701.97, 7,862.51 and 3,708.83

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Solution

The fourth proportional to 5,701.97, 7,862.51 and 3,708.83 is: 5,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.97 : 7,862.51 = 3,708.83 : x
  2. Step 2: Convert to fraction form
    5,701.97/7,862.51 = 3,708.83/x
  3. Step 3: Cross multiply
    5,701.97x = 7,862.51 × 3,708.83
  4. Step 4: Simplify right side
    5,701.97x = 29,160,655.11
  5. Step 5: Solve for x
    x = 29,160,655.11/5,701.97
  6. Step 6: Final answer
    x = 5,114.14

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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.