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Finding the Fourth Proportional to 3,966.22, 5,475.17 and 3,022.08

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Solution

The fourth proportional to 3,966.22, 5,475.17 and 3,022.08 is: 4,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.22 : 5,475.17 = 3,022.08 : x
  2. Step 2: Convert to fraction form
    3,966.22/5,475.17 = 3,022.08/x
  3. Step 3: Cross multiply
    3,966.22x = 5,475.17 × 3,022.08
  4. Step 4: Simplify right side
    3,966.22x = 16,546,426.47
  5. Step 5: Solve for x
    x = 16,546,426.47/3,966.22
  6. Step 6: Final answer
    x = 4,171.84

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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.