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Finding the Fourth Proportional to 3,847.69, 5,311.13 and 2,275.75

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Solution

The fourth proportional to 3,847.69, 5,311.13 and 2,275.75 is: 3,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.69 : 5,311.13 = 2,275.75 : x
  2. Step 2: Convert to fraction form
    3,847.69/5,311.13 = 2,275.75/x
  3. Step 3: Cross multiply
    3,847.69x = 5,311.13 × 2,275.75
  4. Step 4: Simplify right side
    3,847.69x = 12,086,804.10
  5. Step 5: Solve for x
    x = 12,086,804.10/3,847.69
  6. Step 6: Final answer
    x = 3,141.31

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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.