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Finding the Fourth Proportional to 4,337.42, 6,506.71 and 1,414.76

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Solution

The fourth proportional to 4,337.42, 6,506.71 and 1,414.76 is: 2,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.42 : 6,506.71 = 1,414.76 : x
  2. Step 2: Convert to fraction form
    4,337.42/6,506.71 = 1,414.76/x
  3. Step 3: Cross multiply
    4,337.42x = 6,506.71 × 1,414.76
  4. Step 4: Simplify right side
    4,337.42x = 9,205,396.97
  5. Step 5: Solve for x
    x = 9,205,396.97/4,337.42
  6. Step 6: Final answer
    x = 2,122.32

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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.