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Finding the Fourth Proportional to 6,257.62, 8,635.71 and 3,605.14

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Solution

The fourth proportional to 6,257.62, 8,635.71 and 3,605.14 is: 4,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.62 : 8,635.71 = 3,605.14 : x
  2. Step 2: Convert to fraction form
    6,257.62/8,635.71 = 3,605.14/x
  3. Step 3: Cross multiply
    6,257.62x = 8,635.71 × 3,605.14
  4. Step 4: Simplify right side
    6,257.62x = 31,132,943.55
  5. Step 5: Solve for x
    x = 31,132,943.55/6,257.62
  6. Step 6: Final answer
    x = 4,975.21

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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.