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Finding the Fourth Proportional to 3,757.92, 5,184.77 and 2,266.31

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Solution

The fourth proportional to 3,757.92, 5,184.77 and 2,266.31 is: 3,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.92 : 5,184.77 = 2,266.31 : x
  2. Step 2: Convert to fraction form
    3,757.92/5,184.77 = 2,266.31/x
  3. Step 3: Cross multiply
    3,757.92x = 5,184.77 × 2,266.31
  4. Step 4: Simplify right side
    3,757.92x = 11,750,258.84
  5. Step 5: Solve for x
    x = 11,750,258.84/3,757.92
  6. Step 6: Final answer
    x = 3,126.80

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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.