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Finding the Fourth Proportional to 4,634.57, 6,951.17 and 1,514.90

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Solution

The fourth proportional to 4,634.57, 6,951.17 and 1,514.90 is: 2,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.57 : 6,951.17 = 1,514.90 : x
  2. Step 2: Convert to fraction form
    4,634.57/6,951.17 = 1,514.90/x
  3. Step 3: Cross multiply
    4,634.57x = 6,951.17 × 1,514.90
  4. Step 4: Simplify right side
    4,634.57x = 10,530,340.08
  5. Step 5: Solve for x
    x = 10,530,340.08/4,634.57
  6. Step 6: Final answer
    x = 2,272.13

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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.