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Finding the Fourth Proportional to 3,546.59, 5,279.10 and 3,493.96

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Solution

The fourth proportional to 3,546.59, 5,279.10 and 3,493.96 is: 5,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.59 : 5,279.10 = 3,493.96 : x
  2. Step 2: Convert to fraction form
    3,546.59/5,279.10 = 3,493.96/x
  3. Step 3: Cross multiply
    3,546.59x = 5,279.10 × 3,493.96
  4. Step 4: Simplify right side
    3,546.59x = 18,444,962.61
  5. Step 5: Solve for x
    x = 18,444,962.61/3,546.59
  6. Step 6: Final answer
    x = 5,200.77

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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.