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Finding the Fourth Proportional to 4,168.80, 5,753.16 and 2,305.92

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Solution

The fourth proportional to 4,168.80, 5,753.16 and 2,305.92 is: 3,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.80 : 5,753.16 = 2,305.92 : x
  2. Step 2: Convert to fraction form
    4,168.80/5,753.16 = 2,305.92/x
  3. Step 3: Cross multiply
    4,168.80x = 5,753.16 × 2,305.92
  4. Step 4: Simplify right side
    4,168.80x = 13,266,326.71
  5. Step 5: Solve for x
    x = 13,266,326.71/4,168.80
  6. Step 6: Final answer
    x = 3,182.29

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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.