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Finding the Fourth Proportional to 5,283.43, 7,286.36 and 3,294.17

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Solution

The fourth proportional to 5,283.43, 7,286.36 and 3,294.17 is: 4,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.43 : 7,286.36 = 3,294.17 : x
  2. Step 2: Convert to fraction form
    5,283.43/7,286.36 = 3,294.17/x
  3. Step 3: Cross multiply
    5,283.43x = 7,286.36 × 3,294.17
  4. Step 4: Simplify right side
    5,283.43x = 24,002,482.94
  5. Step 5: Solve for x
    x = 24,002,482.94/5,283.43
  6. Step 6: Final answer
    x = 4,542.98

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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.