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Finding the Fourth Proportional to 4,216.96, 6,316.86 and 2,568.16

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Solution

The fourth proportional to 4,216.96, 6,316.86 and 2,568.16 is: 3,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.96 : 6,316.86 = 2,568.16 : x
  2. Step 2: Convert to fraction form
    4,216.96/6,316.86 = 2,568.16/x
  3. Step 3: Cross multiply
    4,216.96x = 6,316.86 × 2,568.16
  4. Step 4: Simplify right side
    4,216.96x = 16,222,707.18
  5. Step 5: Solve for x
    x = 16,222,707.18/4,216.96
  6. Step 6: Final answer
    x = 3,847.01

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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.