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Finding the Fourth Proportional to 5,754.52, 7,940.78 and 3,236.14

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Solution

The fourth proportional to 5,754.52, 7,940.78 and 3,236.14 is: 4,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.52 : 7,940.78 = 3,236.14 : x
  2. Step 2: Convert to fraction form
    5,754.52/7,940.78 = 3,236.14/x
  3. Step 3: Cross multiply
    5,754.52x = 7,940.78 × 3,236.14
  4. Step 4: Simplify right side
    5,754.52x = 25,697,475.79
  5. Step 5: Solve for x
    x = 25,697,475.79/5,754.52
  6. Step 6: Final answer
    x = 4,465.62

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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.