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Finding the Fourth Proportional to 5,462.77, 7,538.61 and 3,104.92

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Solution

The fourth proportional to 5,462.77, 7,538.61 and 3,104.92 is: 4,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.77 : 7,538.61 = 3,104.92 : x
  2. Step 2: Convert to fraction form
    5,462.77/7,538.61 = 3,104.92/x
  3. Step 3: Cross multiply
    5,462.77x = 7,538.61 × 3,104.92
  4. Step 4: Simplify right side
    5,462.77x = 23,406,780.96
  5. Step 5: Solve for x
    x = 23,406,780.96/5,462.77
  6. Step 6: Final answer
    x = 4,284.78

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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.