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Finding the Fourth Proportional to 5,694.27, 8,537.14 and 3,840.18

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Solution

The fourth proportional to 5,694.27, 8,537.14 and 3,840.18 is: 5,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.27 : 8,537.14 = 3,840.18 : x
  2. Step 2: Convert to fraction form
    5,694.27/8,537.14 = 3,840.18/x
  3. Step 3: Cross multiply
    5,694.27x = 8,537.14 × 3,840.18
  4. Step 4: Simplify right side
    5,694.27x = 32,784,154.29
  5. Step 5: Solve for x
    x = 32,784,154.29/5,694.27
  6. Step 6: Final answer
    x = 5,757.39

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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.