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Finding the Fourth Proportional to 3,538.52, 5,282.24 and 3,282.12

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Solution

The fourth proportional to 3,538.52, 5,282.24 and 3,282.12 is: 4,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.52 : 5,282.24 = 3,282.12 : x
  2. Step 2: Convert to fraction form
    3,538.52/5,282.24 = 3,282.12/x
  3. Step 3: Cross multiply
    3,538.52x = 5,282.24 × 3,282.12
  4. Step 4: Simplify right side
    3,538.52x = 17,336,945.55
  5. Step 5: Solve for x
    x = 17,336,945.55/3,538.52
  6. Step 6: Final answer
    x = 4,899.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.