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Finding the Fourth Proportional to 5,714.86, 8,565.24 and 2,593.98

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Solution

The fourth proportional to 5,714.86, 8,565.24 and 2,593.98 is: 3,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.86 : 8,565.24 = 2,593.98 : x
  2. Step 2: Convert to fraction form
    5,714.86/8,565.24 = 2,593.98/x
  3. Step 3: Cross multiply
    5,714.86x = 8,565.24 × 2,593.98
  4. Step 4: Simplify right side
    5,714.86x = 22,218,061.26
  5. Step 5: Solve for x
    x = 22,218,061.26/5,714.86
  6. Step 6: Final answer
    x = 3,887.77

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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.