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Finding the Fourth Proportional to 3,827.38, 5,282.17 and 2,148.69

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Solution

The fourth proportional to 3,827.38, 5,282.17 and 2,148.69 is: 2,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.38 : 5,282.17 = 2,148.69 : x
  2. Step 2: Convert to fraction form
    3,827.38/5,282.17 = 2,148.69/x
  3. Step 3: Cross multiply
    3,827.38x = 5,282.17 × 2,148.69
  4. Step 4: Simplify right side
    3,827.38x = 11,349,753.12
  5. Step 5: Solve for x
    x = 11,349,753.12/3,827.38
  6. Step 6: Final answer
    x = 2,965.41

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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.