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Finding the Fourth Proportional to 3,885.49, 5,361.82 and 2,117.08

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Solution

The fourth proportional to 3,885.49, 5,361.82 and 2,117.08 is: 2,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.49 : 5,361.82 = 2,117.08 : x
  2. Step 2: Convert to fraction form
    3,885.49/5,361.82 = 2,117.08/x
  3. Step 3: Cross multiply
    3,885.49x = 5,361.82 × 2,117.08
  4. Step 4: Simplify right side
    3,885.49x = 11,351,401.89
  5. Step 5: Solve for x
    x = 11,351,401.89/3,885.49
  6. Step 6: Final answer
    x = 2,921.49

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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.