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Finding the Fourth Proportional to 3,487.70, 5,231.55 and 1,179.20

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Solution

The fourth proportional to 3,487.70, 5,231.55 and 1,179.20 is: 1,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.70 : 5,231.55 = 1,179.20 : x
  2. Step 2: Convert to fraction form
    3,487.70/5,231.55 = 1,179.20/x
  3. Step 3: Cross multiply
    3,487.70x = 5,231.55 × 1,179.20
  4. Step 4: Simplify right side
    3,487.70x = 6,169,043.76
  5. Step 5: Solve for x
    x = 6,169,043.76/3,487.70
  6. Step 6: Final answer
    x = 1,768.80

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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.