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Finding the Fourth Proportional to 5,714.80, 8,568.54 and 2,591.56

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Solution

The fourth proportional to 5,714.80, 8,568.54 and 2,591.56 is: 3,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.80 : 8,568.54 = 2,591.56 : x
  2. Step 2: Convert to fraction form
    5,714.80/8,568.54 = 2,591.56/x
  3. Step 3: Cross multiply
    5,714.80x = 8,568.54 × 2,591.56
  4. Step 4: Simplify right side
    5,714.80x = 22,205,885.52
  5. Step 5: Solve for x
    x = 22,205,885.52/5,714.80
  6. Step 6: Final answer
    x = 3,885.68

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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.