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Finding the Fourth Proportional to 3,972.71, 5,482.37 and 2,294.12

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Solution

The fourth proportional to 3,972.71, 5,482.37 and 2,294.12 is: 3,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.71 : 5,482.37 = 2,294.12 : x
  2. Step 2: Convert to fraction form
    3,972.71/5,482.37 = 2,294.12/x
  3. Step 3: Cross multiply
    3,972.71x = 5,482.37 × 2,294.12
  4. Step 4: Simplify right side
    3,972.71x = 12,577,234.11
  5. Step 5: Solve for x
    x = 12,577,234.11/3,972.71
  6. Step 6: Final answer
    x = 3,165.91

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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.