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Finding the Fourth Proportional to 3,885.46, 5,361.92 and 2,117.14

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Solution

The fourth proportional to 3,885.46, 5,361.92 and 2,117.14 is: 2,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.46 : 5,361.92 = 2,117.14 : x
  2. Step 2: Convert to fraction form
    3,885.46/5,361.92 = 2,117.14/x
  3. Step 3: Cross multiply
    3,885.46x = 5,361.92 × 2,117.14
  4. Step 4: Simplify right side
    3,885.46x = 11,351,924.72
  5. Step 5: Solve for x
    x = 11,351,924.72/3,885.46
  6. Step 6: Final answer
    x = 2,921.64

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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.