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Finding the Fourth Proportional to 4,201.84, 6,300.66 and 2,447.42

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Solution

The fourth proportional to 4,201.84, 6,300.66 and 2,447.42 is: 3,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.84 : 6,300.66 = 2,447.42 : x
  2. Step 2: Convert to fraction form
    4,201.84/6,300.66 = 2,447.42/x
  3. Step 3: Cross multiply
    4,201.84x = 6,300.66 × 2,447.42
  4. Step 4: Simplify right side
    4,201.84x = 15,420,361.30
  5. Step 5: Solve for x
    x = 15,420,361.30/4,201.84
  6. Step 6: Final answer
    x = 3,669.91

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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.