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Finding the Fourth Proportional to 5,641.87, 7,791.92 and 3,878.59

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Solution

The fourth proportional to 5,641.87, 7,791.92 and 3,878.59 is: 5,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.87 : 7,791.92 = 3,878.59 : x
  2. Step 2: Convert to fraction form
    5,641.87/7,791.92 = 3,878.59/x
  3. Step 3: Cross multiply
    5,641.87x = 7,791.92 × 3,878.59
  4. Step 4: Simplify right side
    5,641.87x = 30,221,662.99
  5. Step 5: Solve for x
    x = 30,221,662.99/5,641.87
  6. Step 6: Final answer
    x = 5,356.67

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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.