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Finding the Fourth Proportional to 3,965.85, 5,470.39 and 2,551.38

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Solution

The fourth proportional to 3,965.85, 5,470.39 and 2,551.38 is: 3,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.85 : 5,470.39 = 2,551.38 : x
  2. Step 2: Convert to fraction form
    3,965.85/5,470.39 = 2,551.38/x
  3. Step 3: Cross multiply
    3,965.85x = 5,470.39 × 2,551.38
  4. Step 4: Simplify right side
    3,965.85x = 13,957,019.14
  5. Step 5: Solve for x
    x = 13,957,019.14/3,965.85
  6. Step 6: Final answer
    x = 3,519.30

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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.