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Finding the Fourth Proportional to 3,816.64, 5,268 and 2,245.24

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Solution

The fourth proportional to 3,816.64, 5,268 and 2,245.24 is: 3,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.64 : 5,268 = 2,245.24 : x
  2. Step 2: Convert to fraction form
    3,816.64/5,268 = 2,245.24/x
  3. Step 3: Cross multiply
    3,816.64x = 5,268 × 2,245.24
  4. Step 4: Simplify right side
    3,816.64x = 11,827,924.32
  5. Step 5: Solve for x
    x = 11,827,924.32/3,816.64
  6. Step 6: Final answer
    x = 3,099.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.