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Finding the Fourth Proportional to 3,468.01, 5,202.05 and 870.95

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Solution

The fourth proportional to 3,468.01, 5,202.05 and 870.95 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.01 : 5,202.05 = 870.95 : x
  2. Step 2: Convert to fraction form
    3,468.01/5,202.05 = 870.95/x
  3. Step 3: Cross multiply
    3,468.01x = 5,202.05 × 870.95
  4. Step 4: Simplify right side
    3,468.01x = 4,530,725.45
  5. Step 5: Solve for x
    x = 4,530,725.45/3,468.01
  6. Step 6: Final answer
    x = 1,306.43

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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.