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Finding the Fourth Proportional to 3,806.42, 5,252.82 and 2,234.22

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Solution

The fourth proportional to 3,806.42, 5,252.82 and 2,234.22 is: 3,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.42 : 5,252.82 = 2,234.22 : x
  2. Step 2: Convert to fraction form
    3,806.42/5,252.82 = 2,234.22/x
  3. Step 3: Cross multiply
    3,806.42x = 5,252.82 × 2,234.22
  4. Step 4: Simplify right side
    3,806.42x = 11,735,955.50
  5. Step 5: Solve for x
    x = 11,735,955.50/3,806.42
  6. Step 6: Final answer
    x = 3,083.20

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1.5x scale

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.