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Finding the Fourth Proportional to 3,921.57, 5,896.40 and 3,617.19

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Solution

The fourth proportional to 3,921.57, 5,896.40 and 3,617.19 is: 5,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.57 : 5,896.40 = 3,617.19 : x
  2. Step 2: Convert to fraction form
    3,921.57/5,896.40 = 3,617.19/x
  3. Step 3: Cross multiply
    3,921.57x = 5,896.40 × 3,617.19
  4. Step 4: Simplify right side
    3,921.57x = 21,328,381.03
  5. Step 5: Solve for x
    x = 21,328,381.03/3,921.57
  6. Step 6: Final answer
    x = 5,438.74

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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.