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Finding the Fourth Proportional to 4,227.81, 5,834.34 and 2,339.43

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Solution

The fourth proportional to 4,227.81, 5,834.34 and 2,339.43 is: 3,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.81 : 5,834.34 = 2,339.43 : x
  2. Step 2: Convert to fraction form
    4,227.81/5,834.34 = 2,339.43/x
  3. Step 3: Cross multiply
    4,227.81x = 5,834.34 × 2,339.43
  4. Step 4: Simplify right side
    4,227.81x = 13,649,030.03
  5. Step 5: Solve for x
    x = 13,649,030.03/4,227.81
  6. Step 6: Final answer
    x = 3,228.39

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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.