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Finding the Fourth Proportional to 3,612.62, 5,407.14 and 1,944.36

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Solution

The fourth proportional to 3,612.62, 5,407.14 and 1,944.36 is: 2,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.62 : 5,407.14 = 1,944.36 : x
  2. Step 2: Convert to fraction form
    3,612.62/5,407.14 = 1,944.36/x
  3. Step 3: Cross multiply
    3,612.62x = 5,407.14 × 1,944.36
  4. Step 4: Simplify right side
    3,612.62x = 10,513,426.73
  5. Step 5: Solve for x
    x = 10,513,426.73/3,612.62
  6. Step 6: Final answer
    x = 2,910.20

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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.