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Finding the Fourth Proportional to 3,895.72, 5,372.74 and 3,470.92

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Solution

The fourth proportional to 3,895.72, 5,372.74 and 3,470.92 is: 4,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.72 : 5,372.74 = 3,470.92 : x
  2. Step 2: Convert to fraction form
    3,895.72/5,372.74 = 3,470.92/x
  3. Step 3: Cross multiply
    3,895.72x = 5,372.74 × 3,470.92
  4. Step 4: Simplify right side
    3,895.72x = 18,648,350.72
  5. Step 5: Solve for x
    x = 18,648,350.72/3,895.72
  6. Step 6: Final answer
    x = 4,786.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.