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Finding the Fourth Proportional to 4,744.92, 6,548.22 and 2,649

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Solution

The fourth proportional to 4,744.92, 6,548.22 and 2,649 is: 3,655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.92 : 6,548.22 = 2,649 : x
  2. Step 2: Convert to fraction form
    4,744.92/6,548.22 = 2,649/x
  3. Step 3: Cross multiply
    4,744.92x = 6,548.22 × 2,649
  4. Step 4: Simplify right side
    4,744.92x = 17,346,234.78
  5. Step 5: Solve for x
    x = 17,346,234.78/4,744.92
  6. Step 6: Final answer
    x = 3,655.75

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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.