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Finding the Fourth Proportional to 4,337.26, 6,506.56 and 1,414.88

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Solution

The fourth proportional to 4,337.26, 6,506.56 and 1,414.88 is: 2,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.26 : 6,506.56 = 1,414.88 : x
  2. Step 2: Convert to fraction form
    4,337.26/6,506.56 = 1,414.88/x
  3. Step 3: Cross multiply
    4,337.26x = 6,506.56 × 1,414.88
  4. Step 4: Simplify right side
    4,337.26x = 9,206,001.61
  5. Step 5: Solve for x
    x = 9,206,001.61/4,337.26
  6. Step 6: Final answer
    x = 2,122.54

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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.