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Finding the Fourth Proportional to 3,706.92, 5,559.48 and 1,073.88

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Solution

The fourth proportional to 3,706.92, 5,559.48 and 1,073.88 is: 1,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.92 : 5,559.48 = 1,073.88 : x
  2. Step 2: Convert to fraction form
    3,706.92/5,559.48 = 1,073.88/x
  3. Step 3: Cross multiply
    3,706.92x = 5,559.48 × 1,073.88
  4. Step 4: Simplify right side
    3,706.92x = 5,970,214.38
  5. Step 5: Solve for x
    x = 5,970,214.38/3,706.92
  6. Step 6: Final answer
    x = 1,610.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.