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Finding the Fourth Proportional to 3,171.80, 4,757.70 and 3,123.20

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Solution

The fourth proportional to 3,171.80, 4,757.70 and 3,123.20 is: 4,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.80 : 4,757.70 = 3,123.20 : x
  2. Step 2: Convert to fraction form
    3,171.80/4,757.70 = 3,123.20/x
  3. Step 3: Cross multiply
    3,171.80x = 4,757.70 × 3,123.20
  4. Step 4: Simplify right side
    3,171.80x = 14,859,248.64
  5. Step 5: Solve for x
    x = 14,859,248.64/3,171.80
  6. Step 6: Final answer
    x = 4,684.80

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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.