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Finding the Fourth Proportional to 2,805.32, 3,869.38 and 2,382.76

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Solution

The fourth proportional to 2,805.32, 3,869.38 and 2,382.76 is: 3,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.32 : 3,869.38 = 2,382.76 : x
  2. Step 2: Convert to fraction form
    2,805.32/3,869.38 = 2,382.76/x
  3. Step 3: Cross multiply
    2,805.32x = 3,869.38 × 2,382.76
  4. Step 4: Simplify right side
    2,805.32x = 9,219,803.89
  5. Step 5: Solve for x
    x = 9,219,803.89/2,805.32
  6. Step 6: Final answer
    x = 3,286.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.