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Finding the Fourth Proportional to 4,216.00, 6,319.22 and 2,568.92

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Solution

The fourth proportional to 4,216.00, 6,319.22 and 2,568.92 is: 3,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.00 : 6,319.22 = 2,568.92 : x
  2. Step 2: Convert to fraction form
    4,216.00/6,319.22 = 2,568.92/x
  3. Step 3: Cross multiply
    4,216.00x = 6,319.22 × 2,568.92
  4. Step 4: Simplify right side
    4,216.00x = 16,233,526.20
  5. Step 5: Solve for x
    x = 16,233,526.20/4,216.00
  6. Step 6: Final answer
    x = 3,850.46

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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.