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Finding the Fourth Proportional to 4,189.38, 6,274 and 3,500.47

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Solution

The fourth proportional to 4,189.38, 6,274 and 3,500.47 is: 5,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.38 : 6,274 = 3,500.47 : x
  2. Step 2: Convert to fraction form
    4,189.38/6,274 = 3,500.47/x
  3. Step 3: Cross multiply
    4,189.38x = 6,274 × 3,500.47
  4. Step 4: Simplify right side
    4,189.38x = 21,961,948.78
  5. Step 5: Solve for x
    x = 21,961,948.78/4,189.38
  6. Step 6: Final answer
    x = 5,242.29

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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.