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Finding the Fourth Proportional to 5,382.66, 8,069.64 and 2,306.82

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Solution

The fourth proportional to 5,382.66, 8,069.64 and 2,306.82 is: 3,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.66 : 8,069.64 = 2,306.82 : x
  2. Step 2: Convert to fraction form
    5,382.66/8,069.64 = 2,306.82/x
  3. Step 3: Cross multiply
    5,382.66x = 8,069.64 × 2,306.82
  4. Step 4: Simplify right side
    5,382.66x = 18,615,206.94
  5. Step 5: Solve for x
    x = 18,615,206.94/5,382.66
  6. Step 6: Final answer
    x = 3,458.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.