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Finding the Fourth Proportional to 5,811.91, 8,016.38 and 3,821.83

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Solution

The fourth proportional to 5,811.91, 8,016.38 and 3,821.83 is: 5,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.91 : 8,016.38 = 3,821.83 : x
  2. Step 2: Convert to fraction form
    5,811.91/8,016.38 = 3,821.83/x
  3. Step 3: Cross multiply
    5,811.91x = 8,016.38 × 3,821.83
  4. Step 4: Simplify right side
    5,811.91x = 30,637,202.43
  5. Step 5: Solve for x
    x = 30,637,202.43/5,811.91
  6. Step 6: Final answer
    x = 5,271.45

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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.