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Finding the Fourth Proportional to 4,414.91, 6,616.47 and 2,334.42

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Solution

The fourth proportional to 4,414.91, 6,616.47 and 2,334.42 is: 3,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.91 : 6,616.47 = 2,334.42 : x
  2. Step 2: Convert to fraction form
    4,414.91/6,616.47 = 2,334.42/x
  3. Step 3: Cross multiply
    4,414.91x = 6,616.47 × 2,334.42
  4. Step 4: Simplify right side
    4,414.91x = 15,445,619.90
  5. Step 5: Solve for x
    x = 15,445,619.90/4,414.91
  6. Step 6: Final answer
    x = 3,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.