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Finding the Fourth Proportional to 3,930.26, 5,922.45 and 3,252.22

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Solution

The fourth proportional to 3,930.26, 5,922.45 and 3,252.22 is: 4,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.26 : 5,922.45 = 3,252.22 : x
  2. Step 2: Convert to fraction form
    3,930.26/5,922.45 = 3,252.22/x
  3. Step 3: Cross multiply
    3,930.26x = 5,922.45 × 3,252.22
  4. Step 4: Simplify right side
    3,930.26x = 19,261,095.53
  5. Step 5: Solve for x
    x = 19,261,095.53/3,930.26
  6. Step 6: Final answer
    x = 4,900.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.