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Finding the Fourth Proportional to 4,229.70, 6,344.85 and 1,308.24

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Solution

The fourth proportional to 4,229.70, 6,344.85 and 1,308.24 is: 1,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.70 : 6,344.85 = 1,308.24 : x
  2. Step 2: Convert to fraction form
    4,229.70/6,344.85 = 1,308.24/x
  3. Step 3: Cross multiply
    4,229.70x = 6,344.85 × 1,308.24
  4. Step 4: Simplify right side
    4,229.70x = 8,300,586.56
  5. Step 5: Solve for x
    x = 8,300,586.56/4,229.70
  6. Step 6: Final answer
    x = 1,962.45

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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.