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Finding the Fourth Proportional to 3,468.62, 5,203.12 and 871.58

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Solution

The fourth proportional to 3,468.62, 5,203.12 and 871.58 is: 1,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.62 : 5,203.12 = 871.58 : x
  2. Step 2: Convert to fraction form
    3,468.62/5,203.12 = 871.58/x
  3. Step 3: Cross multiply
    3,468.62x = 5,203.12 × 871.58
  4. Step 4: Simplify right side
    3,468.62x = 4,534,935.33
  5. Step 5: Solve for x
    x = 4,534,935.33/3,468.62
  6. Step 6: Final answer
    x = 1,307.42

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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.