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Finding the Fourth Proportional to 4,342.46, 5,993.19 and 2,454.80

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Solution

The fourth proportional to 4,342.46, 5,993.19 and 2,454.80 is: 3,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.46 : 5,993.19 = 2,454.80 : x
  2. Step 2: Convert to fraction form
    4,342.46/5,993.19 = 2,454.80/x
  3. Step 3: Cross multiply
    4,342.46x = 5,993.19 × 2,454.80
  4. Step 4: Simplify right side
    4,342.46x = 14,712,052.85
  5. Step 5: Solve for x
    x = 14,712,052.85/4,342.46
  6. Step 6: Final answer
    x = 3,387.96

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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.