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Finding the Fourth Proportional to 3,856.38, 5,744.78 and 3,617.34

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Solution

The fourth proportional to 3,856.38, 5,744.78 and 3,617.34 is: 5,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.38 : 5,744.78 = 3,617.34 : x
  2. Step 2: Convert to fraction form
    3,856.38/5,744.78 = 3,617.34/x
  3. Step 3: Cross multiply
    3,856.38x = 5,744.78 × 3,617.34
  4. Step 4: Simplify right side
    3,856.38x = 20,780,804.40
  5. Step 5: Solve for x
    x = 20,780,804.40/3,856.38
  6. Step 6: Final answer
    x = 5,388.68

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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.