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Finding the Fourth Proportional to 5,200.56, 7,174.32 and 3,104.52

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Solution

The fourth proportional to 5,200.56, 7,174.32 and 3,104.52 is: 4,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.56 : 7,174.32 = 3,104.52 : x
  2. Step 2: Convert to fraction form
    5,200.56/7,174.32 = 3,104.52/x
  3. Step 3: Cross multiply
    5,200.56x = 7,174.32 × 3,104.52
  4. Step 4: Simplify right side
    5,200.56x = 22,272,819.93
  5. Step 5: Solve for x
    x = 22,272,819.93/5,200.56
  6. Step 6: Final answer
    x = 4,282.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.