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Finding the Fourth Proportional to 3,864.84, 5,797.17 and 943.17

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Solution

The fourth proportional to 3,864.84, 5,797.17 and 943.17 is: 1,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.84 : 5,797.17 = 943.17 : x
  2. Step 2: Convert to fraction form
    3,864.84/5,797.17 = 943.17/x
  3. Step 3: Cross multiply
    3,864.84x = 5,797.17 × 943.17
  4. Step 4: Simplify right side
    3,864.84x = 5,467,716.83
  5. Step 5: Solve for x
    x = 5,467,716.83/3,864.84
  6. Step 6: Final answer
    x = 1,414.73

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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.