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Finding the Fourth Proportional to 3,862.54, 5,794.33 and 1,397.04

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Solution

The fourth proportional to 3,862.54, 5,794.33 and 1,397.04 is: 2,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.54 : 5,794.33 = 1,397.04 : x
  2. Step 2: Convert to fraction form
    3,862.54/5,794.33 = 1,397.04/x
  3. Step 3: Cross multiply
    3,862.54x = 5,794.33 × 1,397.04
  4. Step 4: Simplify right side
    3,862.54x = 8,094,910.78
  5. Step 5: Solve for x
    x = 8,094,910.78/3,862.54
  6. Step 6: Final answer
    x = 2,095.75

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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.