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Finding the Fourth Proportional to 3,962.78, 5,469.05 and 2,966.31

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Solution

The fourth proportional to 3,962.78, 5,469.05 and 2,966.31 is: 4,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.78 : 5,469.05 = 2,966.31 : x
  2. Step 2: Convert to fraction form
    3,962.78/5,469.05 = 2,966.31/x
  3. Step 3: Cross multiply
    3,962.78x = 5,469.05 × 2,966.31
  4. Step 4: Simplify right side
    3,962.78x = 16,222,897.71
  5. Step 5: Solve for x
    x = 16,222,897.71/3,962.78
  6. Step 6: Final answer
    x = 4,093.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.