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Finding the Fourth Proportional to 3,962.52, 5,468.13 and 2,193.93

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Solution

The fourth proportional to 3,962.52, 5,468.13 and 2,193.93 is: 3,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.52 : 5,468.13 = 2,193.93 : x
  2. Step 2: Convert to fraction form
    3,962.52/5,468.13 = 2,193.93/x
  3. Step 3: Cross multiply
    3,962.52x = 5,468.13 × 2,193.93
  4. Step 4: Simplify right side
    3,962.52x = 11,996,694.45
  5. Step 5: Solve for x
    x = 11,996,694.45/3,962.52
  6. Step 6: Final answer
    x = 3,027.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.