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Finding the Fourth Proportional to 5,306.70, 7,963.65 and 3,453.30

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Solution

The fourth proportional to 5,306.70, 7,963.65 and 3,453.30 is: 5,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.70 : 7,963.65 = 3,453.30 : x
  2. Step 2: Convert to fraction form
    5,306.70/7,963.65 = 3,453.30/x
  3. Step 3: Cross multiply
    5,306.70x = 7,963.65 × 3,453.30
  4. Step 4: Simplify right side
    5,306.70x = 27,500,872.55
  5. Step 5: Solve for x
    x = 27,500,872.55/5,306.70
  6. Step 6: Final answer
    x = 5,182.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.