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Finding the Fourth Proportional to 5,293.95, 7,304.17 and 4,171.41

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Solution

The fourth proportional to 5,293.95, 7,304.17 and 4,171.41 is: 5,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.95 : 7,304.17 = 4,171.41 : x
  2. Step 2: Convert to fraction form
    5,293.95/7,304.17 = 4,171.41/x
  3. Step 3: Cross multiply
    5,293.95x = 7,304.17 × 4,171.41
  4. Step 4: Simplify right side
    5,293.95x = 30,468,687.78
  5. Step 5: Solve for x
    x = 30,468,687.78/5,293.95
  6. Step 6: Final answer
    x = 5,755.38

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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.