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Finding the Fourth Proportional to 5,258.88, 7,869.42 and 3,868.92

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Solution

The fourth proportional to 5,258.88, 7,869.42 and 3,868.92 is: 5,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.88 : 7,869.42 = 3,868.92 : x
  2. Step 2: Convert to fraction form
    5,258.88/7,869.42 = 3,868.92/x
  3. Step 3: Cross multiply
    5,258.88x = 7,869.42 × 3,868.92
  4. Step 4: Simplify right side
    5,258.88x = 30,446,156.43
  5. Step 5: Solve for x
    x = 30,446,156.43/5,258.88
  6. Step 6: Final answer
    x = 5,789.48

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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.