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Finding the Fourth Proportional to 4,171.76, 5,753.04 and 2,843.36

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Solution

The fourth proportional to 4,171.76, 5,753.04 and 2,843.36 is: 3,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.76 : 5,753.04 = 2,843.36 : x
  2. Step 2: Convert to fraction form
    4,171.76/5,753.04 = 2,843.36/x
  3. Step 3: Cross multiply
    4,171.76x = 5,753.04 × 2,843.36
  4. Step 4: Simplify right side
    4,171.76x = 16,357,963.81
  5. Step 5: Solve for x
    x = 16,357,963.81/4,171.76
  6. Step 6: Final answer
    x = 3,921.12

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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.