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Finding the Fourth Proportional to 4,337.87, 5,984.77 and 2,449.22

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Solution

The fourth proportional to 4,337.87, 5,984.77 and 2,449.22 is: 3,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.87 : 5,984.77 = 2,449.22 : x
  2. Step 2: Convert to fraction form
    4,337.87/5,984.77 = 2,449.22/x
  3. Step 3: Cross multiply
    4,337.87x = 5,984.77 × 2,449.22
  4. Step 4: Simplify right side
    4,337.87x = 14,658,018.38
  5. Step 5: Solve for x
    x = 14,658,018.38/4,337.87
  6. Step 6: Final answer
    x = 3,379.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.