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Finding the Fourth Proportional to 5,853.75, 8,078.31 and 3,617.16

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Solution

The fourth proportional to 5,853.75, 8,078.31 and 3,617.16 is: 4,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.75 : 8,078.31 = 3,617.16 : x
  2. Step 2: Convert to fraction form
    5,853.75/8,078.31 = 3,617.16/x
  3. Step 3: Cross multiply
    5,853.75x = 8,078.31 × 3,617.16
  4. Step 4: Simplify right side
    5,853.75x = 29,220,539.80
  5. Step 5: Solve for x
    x = 29,220,539.80/5,853.75
  6. Step 6: Final answer
    x = 4,991.76

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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.