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Finding the Fourth Proportional to 3,459.38, 4,772.29 and 2,340.71

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Solution

The fourth proportional to 3,459.38, 4,772.29 and 2,340.71 is: 3,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.38 : 4,772.29 = 2,340.71 : x
  2. Step 2: Convert to fraction form
    3,459.38/4,772.29 = 2,340.71/x
  3. Step 3: Cross multiply
    3,459.38x = 4,772.29 × 2,340.71
  4. Step 4: Simplify right side
    3,459.38x = 11,170,546.93
  5. Step 5: Solve for x
    x = 11,170,546.93/3,459.38
  6. Step 6: Final answer
    x = 3,229.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.