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Finding the Fourth Proportional to 4,251.71, 5,867.25 and 2,363.25

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Solution

The fourth proportional to 4,251.71, 5,867.25 and 2,363.25 is: 3,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.71 : 5,867.25 = 2,363.25 : x
  2. Step 2: Convert to fraction form
    4,251.71/5,867.25 = 2,363.25/x
  3. Step 3: Cross multiply
    4,251.71x = 5,867.25 × 2,363.25
  4. Step 4: Simplify right side
    4,251.71x = 13,865,747.70
  5. Step 5: Solve for x
    x = 13,865,747.70/4,251.71
  6. Step 6: Final answer
    x = 3,261.21

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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.