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Finding the Fourth Proportional to 3,598.49, 5,397.72 and 1,257.86

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Solution

The fourth proportional to 3,598.49, 5,397.72 and 1,257.86 is: 1,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.49 : 5,397.72 = 1,257.86 : x
  2. Step 2: Convert to fraction form
    3,598.49/5,397.72 = 1,257.86/x
  3. Step 3: Cross multiply
    3,598.49x = 5,397.72 × 1,257.86
  4. Step 4: Simplify right side
    3,598.49x = 6,789,549.09
  5. Step 5: Solve for x
    x = 6,789,549.09/3,598.49
  6. Step 6: Final answer
    x = 1,886.78

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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.