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Finding the Fourth Proportional to 3,885.27, 5,361.57 and 2,116.77

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Solution

The fourth proportional to 3,885.27, 5,361.57 and 2,116.77 is: 2,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.27 : 5,361.57 = 2,116.77 : x
  2. Step 2: Convert to fraction form
    3,885.27/5,361.57 = 2,116.77/x
  3. Step 3: Cross multiply
    3,885.27x = 5,361.57 × 2,116.77
  4. Step 4: Simplify right side
    3,885.27x = 11,349,210.53
  5. Step 5: Solve for x
    x = 11,349,210.53/3,885.27
  6. Step 6: Final answer
    x = 2,921.09

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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.