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Finding the Fourth Proportional to 5,294.24, 7,306.16 and 2,936.56

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Solution

The fourth proportional to 5,294.24, 7,306.16 and 2,936.56 is: 4,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.24 : 7,306.16 = 2,936.56 : x
  2. Step 2: Convert to fraction form
    5,294.24/7,306.16 = 2,936.56/x
  3. Step 3: Cross multiply
    5,294.24x = 7,306.16 × 2,936.56
  4. Step 4: Simplify right side
    5,294.24x = 21,454,977.21
  5. Step 5: Solve for x
    x = 21,454,977.21/5,294.24
  6. Step 6: Final answer
    x = 4,052.51

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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.