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Finding the Fourth Proportional to 5,863.39, 8,091.44 and 5,386.82

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Solution

The fourth proportional to 5,863.39, 8,091.44 and 5,386.82 is: 7,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.39 : 8,091.44 = 5,386.82 : x
  2. Step 2: Convert to fraction form
    5,863.39/8,091.44 = 5,386.82/x
  3. Step 3: Cross multiply
    5,863.39x = 8,091.44 × 5,386.82
  4. Step 4: Simplify right side
    5,863.39x = 43,587,164.52
  5. Step 5: Solve for x
    x = 43,587,164.52/5,863.39
  6. Step 6: Final answer
    x = 7,433.79

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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.