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Finding the Fourth Proportional to 3,467.88, 5,201.98 and 870.84

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Solution

The fourth proportional to 3,467.88, 5,201.98 and 870.84 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.88 : 5,201.98 = 870.84 : x
  2. Step 2: Convert to fraction form
    3,467.88/5,201.98 = 870.84/x
  3. Step 3: Cross multiply
    3,467.88x = 5,201.98 × 870.84
  4. Step 4: Simplify right side
    3,467.88x = 4,530,092.26
  5. Step 5: Solve for x
    x = 4,530,092.26/3,467.88
  6. Step 6: Final answer
    x = 1,306.30

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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.