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Finding the Fourth Proportional to 4,227.76, 5,834.11 and 2,339.31

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Solution

The fourth proportional to 4,227.76, 5,834.11 and 2,339.31 is: 3,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.76 : 5,834.11 = 2,339.31 : x
  2. Step 2: Convert to fraction form
    4,227.76/5,834.11 = 2,339.31/x
  3. Step 3: Cross multiply
    4,227.76x = 5,834.11 × 2,339.31
  4. Step 4: Simplify right side
    4,227.76x = 13,647,795.04
  5. Step 5: Solve for x
    x = 13,647,795.04/4,227.76
  6. Step 6: Final answer
    x = 3,228.14

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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.