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Finding the Fourth Proportional to 3,687.43, 5,086 and 2,568.75

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Solution

The fourth proportional to 3,687.43, 5,086 and 2,568.75 is: 3,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.43 : 5,086 = 2,568.75 : x
  2. Step 2: Convert to fraction form
    3,687.43/5,086 = 2,568.75/x
  3. Step 3: Cross multiply
    3,687.43x = 5,086 × 2,568.75
  4. Step 4: Simplify right side
    3,687.43x = 13,064,662.50
  5. Step 5: Solve for x
    x = 13,064,662.50/3,687.43
  6. Step 6: Final answer
    x = 3,543.03

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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.