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Finding the Fourth Proportional to 5,150.80, 7,726.20 and 2,558.80

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Solution

The fourth proportional to 5,150.80, 7,726.20 and 2,558.80 is: 3,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.80 : 7,726.20 = 2,558.80 : x
  2. Step 2: Convert to fraction form
    5,150.80/7,726.20 = 2,558.80/x
  3. Step 3: Cross multiply
    5,150.80x = 7,726.20 × 2,558.80
  4. Step 4: Simplify right side
    5,150.80x = 19,769,800.56
  5. Step 5: Solve for x
    x = 19,769,800.56/5,150.80
  6. Step 6: Final answer
    x = 3,838.20

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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.