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Finding the Fourth Proportional to 5,373, 7,414.56 and 2,982.90

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Solution

The fourth proportional to 5,373, 7,414.56 and 2,982.90 is: 4,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373 : 7,414.56 = 2,982.90 : x
  2. Step 2: Convert to fraction form
    5,373/7,414.56 = 2,982.90/x
  3. Step 3: Cross multiply
    5,373x = 7,414.56 × 2,982.90
  4. Step 4: Simplify right side
    5,373x = 22,116,891.02
  5. Step 5: Solve for x
    x = 22,116,891.02/5,373
  6. Step 6: Final answer
    x = 4,116.30

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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.