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Finding the Fourth Proportional to 5,407.20, 7,462.08 and 3,049.20

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Solution

The fourth proportional to 5,407.20, 7,462.08 and 3,049.20 is: 4,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.20 : 7,462.08 = 3,049.20 : x
  2. Step 2: Convert to fraction form
    5,407.20/7,462.08 = 3,049.20/x
  3. Step 3: Cross multiply
    5,407.20x = 7,462.08 × 3,049.20
  4. Step 4: Simplify right side
    5,407.20x = 22,753,374.34
  5. Step 5: Solve for x
    x = 22,753,374.34/5,407.20
  6. Step 6: Final answer
    x = 4,207.98

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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.