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Finding the Fourth Proportional to 3,689.56, 5,507.24 and 3,257.02

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Solution

The fourth proportional to 3,689.56, 5,507.24 and 3,257.02 is: 4,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.56 : 5,507.24 = 3,257.02 : x
  2. Step 2: Convert to fraction form
    3,689.56/5,507.24 = 3,257.02/x
  3. Step 3: Cross multiply
    3,689.56x = 5,507.24 × 3,257.02
  4. Step 4: Simplify right side
    3,689.56x = 17,937,190.82
  5. Step 5: Solve for x
    x = 17,937,190.82/3,689.56
  6. Step 6: Final answer
    x = 4,861.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.