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Finding the Fourth Proportional to 4,514, 6,229.86 and 2,651

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Solution

The fourth proportional to 4,514, 6,229.86 and 2,651 is: 3,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514 : 6,229.86 = 2,651 : x
  2. Step 2: Convert to fraction form
    4,514/6,229.86 = 2,651/x
  3. Step 3: Cross multiply
    4,514x = 6,229.86 × 2,651
  4. Step 4: Simplify right side
    4,514x = 16,515,358.86
  5. Step 5: Solve for x
    x = 16,515,358.86/4,514
  6. Step 6: Final answer
    x = 3,658.70

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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.