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Finding the Fourth Proportional to 5,372.40, 7,414.38 and 2,982.60

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Solution

The fourth proportional to 5,372.40, 7,414.38 and 2,982.60 is: 4,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.40 : 7,414.38 = 2,982.60 : x
  2. Step 2: Convert to fraction form
    5,372.40/7,414.38 = 2,982.60/x
  3. Step 3: Cross multiply
    5,372.40x = 7,414.38 × 2,982.60
  4. Step 4: Simplify right side
    5,372.40x = 22,114,129.79
  5. Step 5: Solve for x
    x = 22,114,129.79/5,372.40
  6. Step 6: Final answer
    x = 4,116.25

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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.