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Finding the Fourth Proportional to 3,739.20, 5,608.80 and 1,275.80

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Solution

The fourth proportional to 3,739.20, 5,608.80 and 1,275.80 is: 1,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.20 : 5,608.80 = 1,275.80 : x
  2. Step 2: Convert to fraction form
    3,739.20/5,608.80 = 1,275.80/x
  3. Step 3: Cross multiply
    3,739.20x = 5,608.80 × 1,275.80
  4. Step 4: Simplify right side
    3,739.20x = 7,155,707.04
  5. Step 5: Solve for x
    x = 7,155,707.04/3,739.20
  6. Step 6: Final answer
    x = 1,913.70

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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.