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Finding the Fourth Proportional to 3,412.99, 5,120.92 and 2,182.80

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Solution

The fourth proportional to 3,412.99, 5,120.92 and 2,182.80 is: 3,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.99 : 5,120.92 = 2,182.80 : x
  2. Step 2: Convert to fraction form
    3,412.99/5,120.92 = 2,182.80/x
  3. Step 3: Cross multiply
    3,412.99x = 5,120.92 × 2,182.80
  4. Step 4: Simplify right side
    3,412.99x = 11,177,937.30
  5. Step 5: Solve for x
    x = 11,177,937.30/3,412.99
  6. Step 6: Final answer
    x = 3,275.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.