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Finding the Fourth Proportional to 3,884.64, 5,361.02 and 2,116.23

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Solution

The fourth proportional to 3,884.64, 5,361.02 and 2,116.23 is: 2,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.64 : 5,361.02 = 2,116.23 : x
  2. Step 2: Convert to fraction form
    3,884.64/5,361.02 = 2,116.23/x
  3. Step 3: Cross multiply
    3,884.64x = 5,361.02 × 2,116.23
  4. Step 4: Simplify right side
    3,884.64x = 11,345,151.35
  5. Step 5: Solve for x
    x = 11,345,151.35/3,884.64
  6. Step 6: Final answer
    x = 2,920.52

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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.