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Finding the Fourth Proportional to 4,478.38, 6,704.89 and 3,422.98

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Solution

The fourth proportional to 4,478.38, 6,704.89 and 3,422.98 is: 5,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.38 : 6,704.89 = 3,422.98 : x
  2. Step 2: Convert to fraction form
    4,478.38/6,704.89 = 3,422.98/x
  3. Step 3: Cross multiply
    4,478.38x = 6,704.89 × 3,422.98
  4. Step 4: Simplify right side
    4,478.38x = 22,950,723.45
  5. Step 5: Solve for x
    x = 22,950,723.45/4,478.38
  6. Step 6: Final answer
    x = 5,124.79

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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.