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Finding the Fourth Proportional to 3,468, 5,202.84 and 1,159.52

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Solution

The fourth proportional to 3,468, 5,202.84 and 1,159.52 is: 1,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468 : 5,202.84 = 1,159.52 : x
  2. Step 2: Convert to fraction form
    3,468/5,202.84 = 1,159.52/x
  3. Step 3: Cross multiply
    3,468x = 5,202.84 × 1,159.52
  4. Step 4: Simplify right side
    3,468x = 6,032,797.04
  5. Step 5: Solve for x
    x = 6,032,797.04/3,468
  6. Step 6: Final answer
    x = 1,739.56

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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.