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Finding the Fourth Proportional to 5,957.93, 8,218.22 and 3,836.23

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Solution

The fourth proportional to 5,957.93, 8,218.22 and 3,836.23 is: 5,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.93 : 8,218.22 = 3,836.23 : x
  2. Step 2: Convert to fraction form
    5,957.93/8,218.22 = 3,836.23/x
  3. Step 3: Cross multiply
    5,957.93x = 8,218.22 × 3,836.23
  4. Step 4: Simplify right side
    5,957.93x = 31,526,942.38
  5. Step 5: Solve for x
    x = 31,526,942.38/5,957.93
  6. Step 6: Final answer
    x = 5,291.59

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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.