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Finding the Fourth Proportional to 3,908.80, 5,863.80 and 1,311.12

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Solution

The fourth proportional to 3,908.80, 5,863.80 and 1,311.12 is: 1,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.80 : 5,863.80 = 1,311.12 : x
  2. Step 2: Convert to fraction form
    3,908.80/5,863.80 = 1,311.12/x
  3. Step 3: Cross multiply
    3,908.80x = 5,863.80 × 1,311.12
  4. Step 4: Simplify right side
    3,908.80x = 7,688,145.46
  5. Step 5: Solve for x
    x = 7,688,145.46/3,908.80
  6. Step 6: Final answer
    x = 1,966.88

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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.