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Finding the Fourth Proportional to 4,120.71, 5,686.56 and 2,257.71

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Solution

The fourth proportional to 4,120.71, 5,686.56 and 2,257.71 is: 3,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.71 : 5,686.56 = 2,257.71 : x
  2. Step 2: Convert to fraction form
    4,120.71/5,686.56 = 2,257.71/x
  3. Step 3: Cross multiply
    4,120.71x = 5,686.56 × 2,257.71
  4. Step 4: Simplify right side
    4,120.71x = 12,838,603.38
  5. Step 5: Solve for x
    x = 12,838,603.38/4,120.71
  6. Step 6: Final answer
    x = 3,115.63

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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.