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Finding the Fourth Proportional to 5,972.30, 8,241.39 and 3,734.07

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Solution

The fourth proportional to 5,972.30, 8,241.39 and 3,734.07 is: 5,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.30 : 8,241.39 = 3,734.07 : x
  2. Step 2: Convert to fraction form
    5,972.30/8,241.39 = 3,734.07/x
  3. Step 3: Cross multiply
    5,972.30x = 8,241.39 × 3,734.07
  4. Step 4: Simplify right side
    5,972.30x = 30,773,927.16
  5. Step 5: Solve for x
    x = 30,773,927.16/5,972.30
  6. Step 6: Final answer
    x = 5,152.78

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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.