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Finding the Fourth Proportional to 3,734.70, 5,597.92 and 1,542.22

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Solution

The fourth proportional to 3,734.70, 5,597.92 and 1,542.22 is: 2,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.70 : 5,597.92 = 1,542.22 : x
  2. Step 2: Convert to fraction form
    3,734.70/5,597.92 = 1,542.22/x
  3. Step 3: Cross multiply
    3,734.70x = 5,597.92 × 1,542.22
  4. Step 4: Simplify right side
    3,734.70x = 8,633,224.18
  5. Step 5: Solve for x
    x = 8,633,224.18/3,734.70
  6. Step 6: Final answer
    x = 2,311.62

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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.