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Finding the Fourth Proportional to 3,866.81, 5,334.20 and 2,448.09

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Solution

The fourth proportional to 3,866.81, 5,334.20 and 2,448.09 is: 3,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.81 : 5,334.20 = 2,448.09 : x
  2. Step 2: Convert to fraction form
    3,866.81/5,334.20 = 2,448.09/x
  3. Step 3: Cross multiply
    3,866.81x = 5,334.20 × 2,448.09
  4. Step 4: Simplify right side
    3,866.81x = 13,058,589.44
  5. Step 5: Solve for x
    x = 13,058,589.44/3,866.81
  6. Step 6: Final answer
    x = 3,377.10

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1.5x scale

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.