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Finding the Fourth Proportional to 3,885.89, 5,825.30 and 1,418.97

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Solution

The fourth proportional to 3,885.89, 5,825.30 and 1,418.97 is: 2,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.89 : 5,825.30 = 1,418.97 : x
  2. Step 2: Convert to fraction form
    3,885.89/5,825.30 = 1,418.97/x
  3. Step 3: Cross multiply
    3,885.89x = 5,825.30 × 1,418.97
  4. Step 4: Simplify right side
    3,885.89x = 8,265,929.49
  5. Step 5: Solve for x
    x = 8,265,929.49/3,885.89
  6. Step 6: Final answer
    x = 2,127.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.