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Finding the Fourth Proportional to 3,234.52, 4,852.86 and 1,286.20

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Solution

The fourth proportional to 3,234.52, 4,852.86 and 1,286.20 is: 1,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.52 : 4,852.86 = 1,286.20 : x
  2. Step 2: Convert to fraction form
    3,234.52/4,852.86 = 1,286.20/x
  3. Step 3: Cross multiply
    3,234.52x = 4,852.86 × 1,286.20
  4. Step 4: Simplify right side
    3,234.52x = 6,241,748.53
  5. Step 5: Solve for x
    x = 6,241,748.53/3,234.52
  6. Step 6: Final answer
    x = 1,929.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.