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Finding the Fourth Proportional to 3,260.92, 4,891.14 and 952.12

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Solution

The fourth proportional to 3,260.92, 4,891.14 and 952.12 is: 1,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.92 : 4,891.14 = 952.12 : x
  2. Step 2: Convert to fraction form
    3,260.92/4,891.14 = 952.12/x
  3. Step 3: Cross multiply
    3,260.92x = 4,891.14 × 952.12
  4. Step 4: Simplify right side
    3,260.92x = 4,656,952.22
  5. Step 5: Solve for x
    x = 4,656,952.22/3,260.92
  6. Step 6: Final answer
    x = 1,428.11

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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.