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Finding the Fourth Proportional to 4,337.80, 5,986.20 and 2,449.46

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Solution

The fourth proportional to 4,337.80, 5,986.20 and 2,449.46 is: 3,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.80 : 5,986.20 = 2,449.46 : x
  2. Step 2: Convert to fraction form
    4,337.80/5,986.20 = 2,449.46/x
  3. Step 3: Cross multiply
    4,337.80x = 5,986.20 × 2,449.46
  4. Step 4: Simplify right side
    4,337.80x = 14,662,957.45
  5. Step 5: Solve for x
    x = 14,662,957.45/4,337.80
  6. Step 6: Final answer
    x = 3,380.28

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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.