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Finding the Fourth Proportional to 5,249.32, 7,876.71 and 2,326.94

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Solution

The fourth proportional to 5,249.32, 7,876.71 and 2,326.94 is: 3,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.32 : 7,876.71 = 2,326.94 : x
  2. Step 2: Convert to fraction form
    5,249.32/7,876.71 = 2,326.94/x
  3. Step 3: Cross multiply
    5,249.32x = 7,876.71 × 2,326.94
  4. Step 4: Simplify right side
    5,249.32x = 18,328,631.57
  5. Step 5: Solve for x
    x = 18,328,631.57/5,249.32
  6. Step 6: Final answer
    x = 3,491.62

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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.