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Finding the Fourth Proportional to 3,992.80, 5,989.20 and 3,647.20

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Solution

The fourth proportional to 3,992.80, 5,989.20 and 3,647.20 is: 5,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.80 : 5,989.20 = 3,647.20 : x
  2. Step 2: Convert to fraction form
    3,992.80/5,989.20 = 3,647.20/x
  3. Step 3: Cross multiply
    3,992.80x = 5,989.20 × 3,647.20
  4. Step 4: Simplify right side
    3,992.80x = 21,843,810.24
  5. Step 5: Solve for x
    x = 21,843,810.24/3,992.80
  6. Step 6: Final answer
    x = 5,470.80

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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.