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Finding the Fourth Proportional to 3,723.69, 5,141.10 and 2,308.88

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Solution

The fourth proportional to 3,723.69, 5,141.10 and 2,308.88 is: 3,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.69 : 5,141.10 = 2,308.88 : x
  2. Step 2: Convert to fraction form
    3,723.69/5,141.10 = 2,308.88/x
  3. Step 3: Cross multiply
    3,723.69x = 5,141.10 × 2,308.88
  4. Step 4: Simplify right side
    3,723.69x = 11,870,182.97
  5. Step 5: Solve for x
    x = 11,870,182.97/3,723.69
  6. Step 6: Final answer
    x = 3,187.75

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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.