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Finding the Fourth Proportional to 3,251.04, 4,872.82 and 1,516

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Solution

The fourth proportional to 3,251.04, 4,872.82 and 1,516 is: 2,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.04 : 4,872.82 = 1,516 : x
  2. Step 2: Convert to fraction form
    3,251.04/4,872.82 = 1,516/x
  3. Step 3: Cross multiply
    3,251.04x = 4,872.82 × 1,516
  4. Step 4: Simplify right side
    3,251.04x = 7,387,195.12
  5. Step 5: Solve for x
    x = 7,387,195.12/3,251.04
  6. Step 6: Final answer
    x = 2,272.26

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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.