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Finding the Fourth Proportional to 5,407.60, 7,462.92 and 3,049.96

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Solution

The fourth proportional to 5,407.60, 7,462.92 and 3,049.96 is: 4,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.60 : 7,462.92 = 3,049.96 : x
  2. Step 2: Convert to fraction form
    5,407.60/7,462.92 = 3,049.96/x
  3. Step 3: Cross multiply
    5,407.60x = 7,462.92 × 3,049.96
  4. Step 4: Simplify right side
    5,407.60x = 22,761,607.48
  5. Step 5: Solve for x
    x = 22,761,607.48/5,407.60
  6. Step 6: Final answer
    x = 4,209.19

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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.