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Finding the Fourth Proportional to 3,486.52, 5,229.80 and 1,434.52

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Solution

The fourth proportional to 3,486.52, 5,229.80 and 1,434.52 is: 2,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.52 : 5,229.80 = 1,434.52 : x
  2. Step 2: Convert to fraction form
    3,486.52/5,229.80 = 1,434.52/x
  3. Step 3: Cross multiply
    3,486.52x = 5,229.80 × 1,434.52
  4. Step 4: Simplify right side
    3,486.52x = 7,502,252.70
  5. Step 5: Solve for x
    x = 7,502,252.70/3,486.52
  6. Step 6: Final answer
    x = 2,151.79

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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.