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Finding the Fourth Proportional to 4,744.87, 6,548.25 and 2,649

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Solution

The fourth proportional to 4,744.87, 6,548.25 and 2,649 is: 3,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.87 : 6,548.25 = 2,649 : x
  2. Step 2: Convert to fraction form
    4,744.87/6,548.25 = 2,649/x
  3. Step 3: Cross multiply
    4,744.87x = 6,548.25 × 2,649
  4. Step 4: Simplify right side
    4,744.87x = 17,346,314.25
  5. Step 5: Solve for x
    x = 17,346,314.25/4,744.87
  6. Step 6: Final answer
    x = 3,655.80

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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.