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Finding the Fourth Proportional to 4,337.78, 5,986.16 and 2,449.44

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Solution

The fourth proportional to 4,337.78, 5,986.16 and 2,449.44 is: 3,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.78 : 5,986.16 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    4,337.78/5,986.16 = 2,449.44/x
  3. Step 3: Cross multiply
    4,337.78x = 5,986.16 × 2,449.44
  4. Step 4: Simplify right side
    4,337.78x = 14,662,727.50
  5. Step 5: Solve for x
    x = 14,662,727.50/4,337.78
  6. Step 6: Final answer
    x = 3,380.24

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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.