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Finding the Fourth Proportional to 3,414.97, 4,714.98 and 2,616.88

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Solution

The fourth proportional to 3,414.97, 4,714.98 and 2,616.88 is: 3,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.97 : 4,714.98 = 2,616.88 : x
  2. Step 2: Convert to fraction form
    3,414.97/4,714.98 = 2,616.88/x
  3. Step 3: Cross multiply
    3,414.97x = 4,714.98 × 2,616.88
  4. Step 4: Simplify right side
    3,414.97x = 12,338,536.86
  5. Step 5: Solve for x
    x = 12,338,536.86/3,414.97
  6. Step 6: Final answer
    x = 3,613.07

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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.