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Finding the Fourth Proportional to 3,862.86, 5,794.74 and 1,398.84

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Solution

The fourth proportional to 3,862.86, 5,794.74 and 1,398.84 is: 2,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.86 : 5,794.74 = 1,398.84 : x
  2. Step 2: Convert to fraction form
    3,862.86/5,794.74 = 1,398.84/x
  3. Step 3: Cross multiply
    3,862.86x = 5,794.74 × 1,398.84
  4. Step 4: Simplify right side
    3,862.86x = 8,105,878.13
  5. Step 5: Solve for x
    x = 8,105,878.13/3,862.86
  6. Step 6: Final answer
    x = 2,098.42

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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.