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Finding the Fourth Proportional to 5,712.68, 8,569.02 and 2,593.77

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Solution

The fourth proportional to 5,712.68, 8,569.02 and 2,593.77 is: 3,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.68 : 8,569.02 = 2,593.77 : x
  2. Step 2: Convert to fraction form
    5,712.68/8,569.02 = 2,593.77/x
  3. Step 3: Cross multiply
    5,712.68x = 8,569.02 × 2,593.77
  4. Step 4: Simplify right side
    5,712.68x = 22,226,067.01
  5. Step 5: Solve for x
    x = 22,226,067.01/5,712.68
  6. Step 6: Final answer
    x = 3,890.66

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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.