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Finding the Fourth Proportional to 3,468.54, 5,202.82 and 871.48

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Solution

The fourth proportional to 3,468.54, 5,202.82 and 871.48 is: 1,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.54 : 5,202.82 = 871.48 : x
  2. Step 2: Convert to fraction form
    3,468.54/5,202.82 = 871.48/x
  3. Step 3: Cross multiply
    3,468.54x = 5,202.82 × 871.48
  4. Step 4: Simplify right side
    3,468.54x = 4,534,153.57
  5. Step 5: Solve for x
    x = 4,534,153.57/3,468.54
  6. Step 6: Final answer
    x = 1,307.22

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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.