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Finding the Fourth Proportional to 3,812.32, 5,716.86 and 2,169.64

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Solution

The fourth proportional to 3,812.32, 5,716.86 and 2,169.64 is: 3,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.32 : 5,716.86 = 2,169.64 : x
  2. Step 2: Convert to fraction form
    3,812.32/5,716.86 = 2,169.64/x
  3. Step 3: Cross multiply
    3,812.32x = 5,716.86 × 2,169.64
  4. Step 4: Simplify right side
    3,812.32x = 12,403,528.13
  5. Step 5: Solve for x
    x = 12,403,528.13/3,812.32
  6. Step 6: Final answer
    x = 3,253.54

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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.