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Finding the Fourth Proportional to 5,363.88, 8,046.36 and 1,468.56

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Solution

The fourth proportional to 5,363.88, 8,046.36 and 1,468.56 is: 2,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.88 : 8,046.36 = 1,468.56 : x
  2. Step 2: Convert to fraction form
    5,363.88/8,046.36 = 1,468.56/x
  3. Step 3: Cross multiply
    5,363.88x = 8,046.36 × 1,468.56
  4. Step 4: Simplify right side
    5,363.88x = 11,816,562.44
  5. Step 5: Solve for x
    x = 11,816,562.44/5,363.88
  6. Step 6: Final answer
    x = 2,202.99

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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.