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Finding the Fourth Proportional to 4,227.78, 5,834.28 and 2,339.32

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Solution

The fourth proportional to 4,227.78, 5,834.28 and 2,339.32 is: 3,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.78 : 5,834.28 = 2,339.32 : x
  2. Step 2: Convert to fraction form
    4,227.78/5,834.28 = 2,339.32/x
  3. Step 3: Cross multiply
    4,227.78x = 5,834.28 × 2,339.32
  4. Step 4: Simplify right side
    4,227.78x = 13,648,247.89
  5. Step 5: Solve for x
    x = 13,648,247.89/4,227.78
  6. Step 6: Final answer
    x = 3,228.23

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