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Finding the Fourth Proportional to 5,957.24, 8,932.97 and 1,796.47

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Solution

The fourth proportional to 5,957.24, 8,932.97 and 1,796.47 is: 2,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.24 : 8,932.97 = 1,796.47 : x
  2. Step 2: Convert to fraction form
    5,957.24/8,932.97 = 1,796.47/x
  3. Step 3: Cross multiply
    5,957.24x = 8,932.97 × 1,796.47
  4. Step 4: Simplify right side
    5,957.24x = 16,047,794.77
  5. Step 5: Solve for x
    x = 16,047,794.77/5,957.24
  6. Step 6: Final answer
    x = 2,693.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.