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Finding the Fourth Proportional to 3,874.64, 5,811.90 and 952.97

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Solution

The fourth proportional to 3,874.64, 5,811.90 and 952.97 is: 1,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.64 : 5,811.90 = 952.97 : x
  2. Step 2: Convert to fraction form
    3,874.64/5,811.90 = 952.97/x
  3. Step 3: Cross multiply
    3,874.64x = 5,811.90 × 952.97
  4. Step 4: Simplify right side
    3,874.64x = 5,538,537.28
  5. Step 5: Solve for x
    x = 5,538,537.28/3,874.64
  6. Step 6: Final answer
    x = 1,429.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.