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Finding the Fourth Proportional to 3,962.71, 5,468.16 and 2,193.85

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Solution

The fourth proportional to 3,962.71, 5,468.16 and 2,193.85 is: 3,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.71 : 5,468.16 = 2,193.85 : x
  2. Step 2: Convert to fraction form
    3,962.71/5,468.16 = 2,193.85/x
  3. Step 3: Cross multiply
    3,962.71x = 5,468.16 × 2,193.85
  4. Step 4: Simplify right side
    3,962.71x = 11,996,322.82
  5. Step 5: Solve for x
    x = 11,996,322.82/3,962.71
  6. Step 6: Final answer
    x = 3,027.30

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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.