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Finding the Fourth Proportional to 5,454.41, 7,531.27 and 3,965.89

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Solution

The fourth proportional to 5,454.41, 7,531.27 and 3,965.89 is: 5,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.41 : 7,531.27 = 3,965.89 : x
  2. Step 2: Convert to fraction form
    5,454.41/7,531.27 = 3,965.89/x
  3. Step 3: Cross multiply
    5,454.41x = 7,531.27 × 3,965.89
  4. Step 4: Simplify right side
    5,454.41x = 29,868,188.38
  5. Step 5: Solve for x
    x = 29,868,188.38/5,454.41
  6. Step 6: Final answer
    x = 5,475.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.