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Finding the Fourth Proportional to 3,750.80, 5,626.20 and 2,292.80

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Solution

The fourth proportional to 3,750.80, 5,626.20 and 2,292.80 is: 3,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.80 : 5,626.20 = 2,292.80 : x
  2. Step 2: Convert to fraction form
    3,750.80/5,626.20 = 2,292.80/x
  3. Step 3: Cross multiply
    3,750.80x = 5,626.20 × 2,292.80
  4. Step 4: Simplify right side
    3,750.80x = 12,899,751.36
  5. Step 5: Solve for x
    x = 12,899,751.36/3,750.80
  6. Step 6: Final answer
    x = 3,439.20

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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.