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Finding the Fourth Proportional to 3,874.40, 5,811.52 and 952.59

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Solution

The fourth proportional to 3,874.40, 5,811.52 and 952.59 is: 1,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.40 : 5,811.52 = 952.59 : x
  2. Step 2: Convert to fraction form
    3,874.40/5,811.52 = 952.59/x
  3. Step 3: Cross multiply
    3,874.40x = 5,811.52 × 952.59
  4. Step 4: Simplify right side
    3,874.40x = 5,535,995.84
  5. Step 5: Solve for x
    x = 5,535,995.84/3,874.40
  6. Step 6: Final answer
    x = 1,428.87

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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.