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Finding the Fourth Proportional to 3,962.52, 5,943.78 and 2,577

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Solution

The fourth proportional to 3,962.52, 5,943.78 and 2,577 is: 3,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.52 : 5,943.78 = 2,577 : x
  2. Step 2: Convert to fraction form
    3,962.52/5,943.78 = 2,577/x
  3. Step 3: Cross multiply
    3,962.52x = 5,943.78 × 2,577
  4. Step 4: Simplify right side
    3,962.52x = 15,317,121.06
  5. Step 5: Solve for x
    x = 15,317,121.06/3,962.52
  6. Step 6: Final answer
    x = 3,865.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.