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Finding the Fourth Proportional to 5,402.07, 7,454.25 and 3,162.42

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Solution

The fourth proportional to 5,402.07, 7,454.25 and 3,162.42 is: 4,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.07 : 7,454.25 = 3,162.42 : x
  2. Step 2: Convert to fraction form
    5,402.07/7,454.25 = 3,162.42/x
  3. Step 3: Cross multiply
    5,402.07x = 7,454.25 × 3,162.42
  4. Step 4: Simplify right side
    5,402.07x = 23,573,469.29
  5. Step 5: Solve for x
    x = 23,573,469.29/5,402.07
  6. Step 6: Final answer
    x = 4,363.78

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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.