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Finding the Fourth Proportional to 3,454.92, 4,767.84 and 2,127.87

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Solution

The fourth proportional to 3,454.92, 4,767.84 and 2,127.87 is: 2,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.92 : 4,767.84 = 2,127.87 : x
  2. Step 2: Convert to fraction form
    3,454.92/4,767.84 = 2,127.87/x
  3. Step 3: Cross multiply
    3,454.92x = 4,767.84 × 2,127.87
  4. Step 4: Simplify right side
    3,454.92x = 10,145,343.70
  5. Step 5: Solve for x
    x = 10,145,343.70/3,454.92
  6. Step 6: Final answer
    x = 2,936.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.