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Finding the Fourth Proportional to 3,306.34, 4,952.22 and 3,000.16

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Solution

The fourth proportional to 3,306.34, 4,952.22 and 3,000.16 is: 4,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.34 : 4,952.22 = 3,000.16 : x
  2. Step 2: Convert to fraction form
    3,306.34/4,952.22 = 3,000.16/x
  3. Step 3: Cross multiply
    3,306.34x = 4,952.22 × 3,000.16
  4. Step 4: Simplify right side
    3,306.34x = 14,857,452.36
  5. Step 5: Solve for x
    x = 14,857,452.36/3,306.34
  6. Step 6: Final answer
    x = 4,493.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.