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Finding the Fourth Proportional to 3,189.76, 4,757.53 and 3,134.44

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Solution

The fourth proportional to 3,189.76, 4,757.53 and 3,134.44 is: 4,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.76 : 4,757.53 = 3,134.44 : x
  2. Step 2: Convert to fraction form
    3,189.76/4,757.53 = 3,134.44/x
  3. Step 3: Cross multiply
    3,189.76x = 4,757.53 × 3,134.44
  4. Step 4: Simplify right side
    3,189.76x = 14,912,192.33
  5. Step 5: Solve for x
    x = 14,912,192.33/3,189.76
  6. Step 6: Final answer
    x = 4,675.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.