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Finding the Fourth Proportional to 3,910.84, 5,862.20 and 2,446.64

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Solution

The fourth proportional to 3,910.84, 5,862.20 and 2,446.64 is: 3,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.84 : 5,862.20 = 2,446.64 : x
  2. Step 2: Convert to fraction form
    3,910.84/5,862.20 = 2,446.64/x
  3. Step 3: Cross multiply
    3,910.84x = 5,862.20 × 2,446.64
  4. Step 4: Simplify right side
    3,910.84x = 14,342,693.01
  5. Step 5: Solve for x
    x = 14,342,693.01/3,910.84
  6. Step 6: Final answer
    x = 3,667.42

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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.