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Finding the Fourth Proportional to 4,337.47, 5,985.71 and 2,449.44

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Solution

The fourth proportional to 4,337.47, 5,985.71 and 2,449.44 is: 3,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.47 : 5,985.71 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    4,337.47/5,985.71 = 2,449.44/x
  3. Step 3: Cross multiply
    4,337.47x = 5,985.71 × 2,449.44
  4. Step 4: Simplify right side
    4,337.47x = 14,661,625.26
  5. Step 5: Solve for x
    x = 14,661,625.26/4,337.47
  6. Step 6: Final answer
    x = 3,380.23

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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.