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Finding the Fourth Proportional to 3,281.92, 4,899.08 and 2,822.65

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Solution

The fourth proportional to 3,281.92, 4,899.08 and 2,822.65 is: 4,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.92 : 4,899.08 = 2,822.65 : x
  2. Step 2: Convert to fraction form
    3,281.92/4,899.08 = 2,822.65/x
  3. Step 3: Cross multiply
    3,281.92x = 4,899.08 × 2,822.65
  4. Step 4: Simplify right side
    3,281.92x = 13,828,382.97
  5. Step 5: Solve for x
    x = 13,828,382.97/3,281.92
  6. Step 6: Final answer
    x = 4,213.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.