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Finding the Fourth Proportional to 5,122.56, 7,686.90 and 2,200.80

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Solution

The fourth proportional to 5,122.56, 7,686.90 and 2,200.80 is: 3,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.56 : 7,686.90 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    5,122.56/7,686.90 = 2,200.80/x
  3. Step 3: Cross multiply
    5,122.56x = 7,686.90 × 2,200.80
  4. Step 4: Simplify right side
    5,122.56x = 16,917,329.52
  5. Step 5: Solve for x
    x = 16,917,329.52/5,122.56
  6. Step 6: Final answer
    x = 3,302.51

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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.