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Finding the Fourth Proportional to 3,158.39, 4,732.20 and 2,232.17

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Solution

The fourth proportional to 3,158.39, 4,732.20 and 2,232.17 is: 3,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.39 : 4,732.20 = 2,232.17 : x
  2. Step 2: Convert to fraction form
    3,158.39/4,732.20 = 2,232.17/x
  3. Step 3: Cross multiply
    3,158.39x = 4,732.20 × 2,232.17
  4. Step 4: Simplify right side
    3,158.39x = 10,563,068.96
  5. Step 5: Solve for x
    x = 10,563,068.96/3,158.39
  6. Step 6: Final answer
    x = 3,344.44

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