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Finding the Fourth Proportional to 4,414.92, 6,612.90 and 4,156.44

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Solution

The fourth proportional to 4,414.92, 6,612.90 and 4,156.44 is: 6,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.92 : 6,612.90 = 4,156.44 : x
  2. Step 2: Convert to fraction form
    4,414.92/6,612.90 = 4,156.44/x
  3. Step 3: Cross multiply
    4,414.92x = 6,612.90 × 4,156.44
  4. Step 4: Simplify right side
    4,414.92x = 27,486,122.08
  5. Step 5: Solve for x
    x = 27,486,122.08/4,414.92
  6. Step 6: Final answer
    x = 6,225.74

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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.