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Finding the Fourth Proportional to 3,727.48, 5,143.62 and 2,048.88

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Solution

The fourth proportional to 3,727.48, 5,143.62 and 2,048.88 is: 2,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.48 : 5,143.62 = 2,048.88 : x
  2. Step 2: Convert to fraction form
    3,727.48/5,143.62 = 2,048.88/x
  3. Step 3: Cross multiply
    3,727.48x = 5,143.62 × 2,048.88
  4. Step 4: Simplify right side
    3,727.48x = 10,538,660.15
  5. Step 5: Solve for x
    x = 10,538,660.15/3,727.48
  6. Step 6: Final answer
    x = 2,827.29

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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.