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Finding the Fourth Proportional to 3,287.38, 4,536.58 and 2,448.80

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Solution

The fourth proportional to 3,287.38, 4,536.58 and 2,448.80 is: 3,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.38 : 4,536.58 = 2,448.80 : x
  2. Step 2: Convert to fraction form
    3,287.38/4,536.58 = 2,448.80/x
  3. Step 3: Cross multiply
    3,287.38x = 4,536.58 × 2,448.80
  4. Step 4: Simplify right side
    3,287.38x = 11,109,177.10
  5. Step 5: Solve for x
    x = 11,109,177.10/3,287.38
  6. Step 6: Final answer
    x = 3,379.34

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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.