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Finding the Fourth Proportional to 3,609.72, 5,411.70 and 1,663.29

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Solution

The fourth proportional to 3,609.72, 5,411.70 and 1,663.29 is: 2,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.72 : 5,411.70 = 1,663.29 : x
  2. Step 2: Convert to fraction form
    3,609.72/5,411.70 = 1,663.29/x
  3. Step 3: Cross multiply
    3,609.72x = 5,411.70 × 1,663.29
  4. Step 4: Simplify right side
    3,609.72x = 9,001,226.49
  5. Step 5: Solve for x
    x = 9,001,226.49/3,609.72
  6. Step 6: Final answer
    x = 2,493.61

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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.