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Finding the Fourth Proportional to 3,468.52, 5,202.78 and 1,159.48

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Solution

The fourth proportional to 3,468.52, 5,202.78 and 1,159.48 is: 1,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.52 : 5,202.78 = 1,159.48 : x
  2. Step 2: Convert to fraction form
    3,468.52/5,202.78 = 1,159.48/x
  3. Step 3: Cross multiply
    3,468.52x = 5,202.78 × 1,159.48
  4. Step 4: Simplify right side
    3,468.52x = 6,032,519.35
  5. Step 5: Solve for x
    x = 6,032,519.35/3,468.52
  6. Step 6: Final answer
    x = 1,739.22

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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.