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Finding the Fourth Proportional to 3,987.92, 5,982.68 and 1,214.80

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Solution

The fourth proportional to 3,987.92, 5,982.68 and 1,214.80 is: 1,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.92 : 5,982.68 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    3,987.92/5,982.68 = 1,214.80/x
  3. Step 3: Cross multiply
    3,987.92x = 5,982.68 × 1,214.80
  4. Step 4: Simplify right side
    3,987.92x = 7,267,759.66
  5. Step 5: Solve for x
    x = 7,267,759.66/3,987.92
  6. Step 6: Final answer
    x = 1,822.44

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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.