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Finding the Fourth Proportional to 3,275.38, 4,520.08 and 1,878.12

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Solution

The fourth proportional to 3,275.38, 4,520.08 and 1,878.12 is: 2,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.38 : 4,520.08 = 1,878.12 : x
  2. Step 2: Convert to fraction form
    3,275.38/4,520.08 = 1,878.12/x
  3. Step 3: Cross multiply
    3,275.38x = 4,520.08 × 1,878.12
  4. Step 4: Simplify right side
    3,275.38x = 8,489,252.65
  5. Step 5: Solve for x
    x = 8,489,252.65/3,275.38
  6. Step 6: Final answer
    x = 2,591.84

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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.