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Finding the Fourth Proportional to 4,217.62, 5,820.62 and 2,449.49

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Solution

The fourth proportional to 4,217.62, 5,820.62 and 2,449.49 is: 3,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.62 : 5,820.62 = 2,449.49 : x
  2. Step 2: Convert to fraction form
    4,217.62/5,820.62 = 2,449.49/x
  3. Step 3: Cross multiply
    4,217.62x = 5,820.62 × 2,449.49
  4. Step 4: Simplify right side
    4,217.62x = 14,257,550.48
  5. Step 5: Solve for x
    x = 14,257,550.48/4,217.62
  6. Step 6: Final answer
    x = 3,380.47

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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.