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Finding the Fourth Proportional to 3,684.76, 5,522.75 and 2,568.14

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Solution

The fourth proportional to 3,684.76, 5,522.75 and 2,568.14 is: 3,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.76 : 5,522.75 = 2,568.14 : x
  2. Step 2: Convert to fraction form
    3,684.76/5,522.75 = 2,568.14/x
  3. Step 3: Cross multiply
    3,684.76x = 5,522.75 × 2,568.14
  4. Step 4: Simplify right side
    3,684.76x = 14,183,185.07
  5. Step 5: Solve for x
    x = 14,183,185.07/3,684.76
  6. Step 6: Final answer
    x = 3,849.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.