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Finding the Fourth Proportional to 3,538.25, 5,308.19 and 1,229.75

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Solution

The fourth proportional to 3,538.25, 5,308.19 and 1,229.75 is: 1,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.25 : 5,308.19 = 1,229.75 : x
  2. Step 2: Convert to fraction form
    3,538.25/5,308.19 = 1,229.75/x
  3. Step 3: Cross multiply
    3,538.25x = 5,308.19 × 1,229.75
  4. Step 4: Simplify right side
    3,538.25x = 6,527,740.50
  5. Step 5: Solve for x
    x = 6,527,740.50/3,538.25
  6. Step 6: Final answer
    x = 1,844.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.