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Finding the Fourth Proportional to 5,197.71, 7,801.42 and 2,568.18

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Solution

The fourth proportional to 5,197.71, 7,801.42 and 2,568.18 is: 3,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.71 : 7,801.42 = 2,568.18 : x
  2. Step 2: Convert to fraction form
    5,197.71/7,801.42 = 2,568.18/x
  3. Step 3: Cross multiply
    5,197.71x = 7,801.42 × 2,568.18
  4. Step 4: Simplify right side
    5,197.71x = 20,035,450.82
  5. Step 5: Solve for x
    x = 20,035,450.82/5,197.71
  6. Step 6: Final answer
    x = 3,854.67

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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.