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Finding the Fourth Proportional to 5,891.80, 8,133.24 and 3,898.84

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Solution

The fourth proportional to 5,891.80, 8,133.24 and 3,898.84 is: 5,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.80 : 8,133.24 = 3,898.84 : x
  2. Step 2: Convert to fraction form
    5,891.80/8,133.24 = 3,898.84/x
  3. Step 3: Cross multiply
    5,891.80x = 8,133.24 × 3,898.84
  4. Step 4: Simplify right side
    5,891.80x = 31,710,201.44
  5. Step 5: Solve for x
    x = 31,710,201.44/5,891.80
  6. Step 6: Final answer
    x = 5,382.09

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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.