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Finding the Fourth Proportional to 3,727.68, 5,143.68 and 2,155.20

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Solution

The fourth proportional to 3,727.68, 5,143.68 and 2,155.20 is: 2,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.68 : 5,143.68 = 2,155.20 : x
  2. Step 2: Convert to fraction form
    3,727.68/5,143.68 = 2,155.20/x
  3. Step 3: Cross multiply
    3,727.68x = 5,143.68 × 2,155.20
  4. Step 4: Simplify right side
    3,727.68x = 11,085,659.14
  5. Step 5: Solve for x
    x = 11,085,659.14/3,727.68
  6. Step 6: Final answer
    x = 2,973.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.