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Finding the Fourth Proportional to 3,624.52, 5,005.38 and 3,097.48

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Solution

The fourth proportional to 3,624.52, 5,005.38 and 3,097.48 is: 4,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.52 : 5,005.38 = 3,097.48 : x
  2. Step 2: Convert to fraction form
    3,624.52/5,005.38 = 3,097.48/x
  3. Step 3: Cross multiply
    3,624.52x = 5,005.38 × 3,097.48
  4. Step 4: Simplify right side
    3,624.52x = 15,504,064.44
  5. Step 5: Solve for x
    x = 15,504,064.44/3,624.52
  6. Step 6: Final answer
    x = 4,277.55

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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.