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Finding the Fourth Proportional to 5,468.52, 8,202.78 and 1,364.52

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Solution

The fourth proportional to 5,468.52, 8,202.78 and 1,364.52 is: 2,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.52 : 8,202.78 = 1,364.52 : x
  2. Step 2: Convert to fraction form
    5,468.52/8,202.78 = 1,364.52/x
  3. Step 3: Cross multiply
    5,468.52x = 8,202.78 × 1,364.52
  4. Step 4: Simplify right side
    5,468.52x = 11,192,857.37
  5. Step 5: Solve for x
    x = 11,192,857.37/5,468.52
  6. Step 6: Final answer
    x = 2,046.78

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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.