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Finding the Fourth Proportional to 3,351.60, 5,027.22 and 886.50

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Solution

The fourth proportional to 3,351.60, 5,027.22 and 886.50 is: 1,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.60 : 5,027.22 = 886.50 : x
  2. Step 2: Convert to fraction form
    3,351.60/5,027.22 = 886.50/x
  3. Step 3: Cross multiply
    3,351.60x = 5,027.22 × 886.50
  4. Step 4: Simplify right side
    3,351.60x = 4,456,630.53
  5. Step 5: Solve for x
    x = 4,456,630.53/3,351.60
  6. Step 6: Final answer
    x = 1,329.70

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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.