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Finding the Fourth Proportional to 3,738.48, 5,627.20 and 3,174.72

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Solution

The fourth proportional to 3,738.48, 5,627.20 and 3,174.72 is: 4,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.48 : 5,627.20 = 3,174.72 : x
  2. Step 2: Convert to fraction form
    3,738.48/5,627.20 = 3,174.72/x
  3. Step 3: Cross multiply
    3,738.48x = 5,627.20 × 3,174.72
  4. Step 4: Simplify right side
    3,738.48x = 17,864,784.38
  5. Step 5: Solve for x
    x = 17,864,784.38/3,738.48
  6. Step 6: Final answer
    x = 4,778.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.