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Finding the Fourth Proportional to 3,306.78, 4,933.09 and 3,207.24

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Solution

The fourth proportional to 3,306.78, 4,933.09 and 3,207.24 is: 4,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.78 : 4,933.09 = 3,207.24 : x
  2. Step 2: Convert to fraction form
    3,306.78/4,933.09 = 3,207.24/x
  3. Step 3: Cross multiply
    3,306.78x = 4,933.09 × 3,207.24
  4. Step 4: Simplify right side
    3,306.78x = 15,821,603.57
  5. Step 5: Solve for x
    x = 15,821,603.57/3,306.78
  6. Step 6: Final answer
    x = 4,784.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.