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Finding the Fourth Proportional to 3,701.92, 5,553.60 and 1,105.12

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Solution

The fourth proportional to 3,701.92, 5,553.60 and 1,105.12 is: 1,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.92 : 5,553.60 = 1,105.12 : x
  2. Step 2: Convert to fraction form
    3,701.92/5,553.60 = 1,105.12/x
  3. Step 3: Cross multiply
    3,701.92x = 5,553.60 × 1,105.12
  4. Step 4: Simplify right side
    3,701.92x = 6,137,394.43
  5. Step 5: Solve for x
    x = 6,137,394.43/3,701.92
  6. Step 6: Final answer
    x = 1,657.89

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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.