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Finding the Fourth Proportional to 3,862.97, 5,794.45 and 941.28

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Solution

The fourth proportional to 3,862.97, 5,794.45 and 941.28 is: 1,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.97 : 5,794.45 = 941.28 : x
  2. Step 2: Convert to fraction form
    3,862.97/5,794.45 = 941.28/x
  3. Step 3: Cross multiply
    3,862.97x = 5,794.45 × 941.28
  4. Step 4: Simplify right side
    3,862.97x = 5,454,197.54
  5. Step 5: Solve for x
    x = 5,454,197.54/3,862.97
  6. Step 6: Final answer
    x = 1,411.92

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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.