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Finding the Fourth Proportional to 3,941.43, 5,447.01 and 3,232.17

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Solution

The fourth proportional to 3,941.43, 5,447.01 and 3,232.17 is: 4,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.43 : 5,447.01 = 3,232.17 : x
  2. Step 2: Convert to fraction form
    3,941.43/5,447.01 = 3,232.17/x
  3. Step 3: Cross multiply
    3,941.43x = 5,447.01 × 3,232.17
  4. Step 4: Simplify right side
    3,941.43x = 17,605,662.31
  5. Step 5: Solve for x
    x = 17,605,662.31/3,941.43
  6. Step 6: Final answer
    x = 4,466.82

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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.