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Finding the Fourth Proportional to 5,716.90, 8,571.70 and 2,428.30

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Solution

The fourth proportional to 5,716.90, 8,571.70 and 2,428.30 is: 3,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.90 : 8,571.70 = 2,428.30 : x
  2. Step 2: Convert to fraction form
    5,716.90/8,571.70 = 2,428.30/x
  3. Step 3: Cross multiply
    5,716.90x = 8,571.70 × 2,428.30
  4. Step 4: Simplify right side
    5,716.90x = 20,814,659.11
  5. Step 5: Solve for x
    x = 20,814,659.11/5,716.90
  6. Step 6: Final answer
    x = 3,640.90

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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.