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Finding the Fourth Proportional to 5,862.09, 8,092.17 and 5,704.14

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Solution

The fourth proportional to 5,862.09, 8,092.17 and 5,704.14 is: 7,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.09 : 8,092.17 = 5,704.14 : x
  2. Step 2: Convert to fraction form
    5,862.09/8,092.17 = 5,704.14/x
  3. Step 3: Cross multiply
    5,862.09x = 8,092.17 × 5,704.14
  4. Step 4: Simplify right side
    5,862.09x = 46,158,870.58
  5. Step 5: Solve for x
    x = 46,158,870.58/5,862.09
  6. Step 6: Final answer
    x = 7,874.13

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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.