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Finding the Fourth Proportional to 6,246.88, 8,620.43 and 3,414.24

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Solution

The fourth proportional to 6,246.88, 8,620.43 and 3,414.24 is: 4,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.88 : 8,620.43 = 3,414.24 : x
  2. Step 2: Convert to fraction form
    6,246.88/8,620.43 = 3,414.24/x
  3. Step 3: Cross multiply
    6,246.88x = 8,620.43 × 3,414.24
  4. Step 4: Simplify right side
    6,246.88x = 29,432,199.85
  5. Step 5: Solve for x
    x = 29,432,199.85/6,246.88
  6. Step 6: Final answer
    x = 4,711.51

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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.