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Finding the Fourth Proportional to 5,867.91, 8,101.22 and 5,211.81

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Solution

The fourth proportional to 5,867.91, 8,101.22 and 5,211.81 is: 7,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.91 : 8,101.22 = 5,211.81 : x
  2. Step 2: Convert to fraction form
    5,867.91/8,101.22 = 5,211.81/x
  3. Step 3: Cross multiply
    5,867.91x = 8,101.22 × 5,211.81
  4. Step 4: Simplify right side
    5,867.91x = 42,221,993.35
  5. Step 5: Solve for x
    x = 42,221,993.35/5,867.91
  6. Step 6: Final answer
    x = 7,195.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.