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Finding the Fourth Proportional to 3,806.04, 5,252.10 and 2,234

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Solution

The fourth proportional to 3,806.04, 5,252.10 and 2,234 is: 3,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.04 : 5,252.10 = 2,234 : x
  2. Step 2: Convert to fraction form
    3,806.04/5,252.10 = 2,234/x
  3. Step 3: Cross multiply
    3,806.04x = 5,252.10 × 2,234
  4. Step 4: Simplify right side
    3,806.04x = 11,733,191.40
  5. Step 5: Solve for x
    x = 11,733,191.40/3,806.04
  6. Step 6: Final answer
    x = 3,082.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.