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Finding the Fourth Proportional to 5,462.56, 7,540.68 and 3,789.52

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Solution

The fourth proportional to 5,462.56, 7,540.68 and 3,789.52 is: 5,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.56 : 7,540.68 = 3,789.52 : x
  2. Step 2: Convert to fraction form
    5,462.56/7,540.68 = 3,789.52/x
  3. Step 3: Cross multiply
    5,462.56x = 7,540.68 × 3,789.52
  4. Step 4: Simplify right side
    5,462.56x = 28,575,557.67
  5. Step 5: Solve for x
    x = 28,575,557.67/5,462.56
  6. Step 6: Final answer
    x = 5,231.17

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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.