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Finding the Fourth Proportional to 5,844.41, 8,065.31 and 3,191.81

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Solution

The fourth proportional to 5,844.41, 8,065.31 and 3,191.81 is: 4,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.41 : 8,065.31 = 3,191.81 : x
  2. Step 2: Convert to fraction form
    5,844.41/8,065.31 = 3,191.81/x
  3. Step 3: Cross multiply
    5,844.41x = 8,065.31 × 3,191.81
  4. Step 4: Simplify right side
    5,844.41x = 25,742,965.25
  5. Step 5: Solve for x
    x = 25,742,965.25/5,844.41
  6. Step 6: Final answer
    x = 4,404.71

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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.