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Finding the Fourth Proportional to 5,869.12, 8,091.84 and 3,772.48

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Solution

The fourth proportional to 5,869.12, 8,091.84 and 3,772.48 is: 5,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.12 : 8,091.84 = 3,772.48 : x
  2. Step 2: Convert to fraction form
    5,869.12/8,091.84 = 3,772.48/x
  3. Step 3: Cross multiply
    5,869.12x = 8,091.84 × 3,772.48
  4. Step 4: Simplify right side
    5,869.12x = 30,526,304.56
  5. Step 5: Solve for x
    x = 30,526,304.56/5,869.12
  6. Step 6: Final answer
    x = 5,201.17

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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.