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Finding the Fourth Proportional to 3,906.18, 5,856.30 and 1,682.64

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Solution

The fourth proportional to 3,906.18, 5,856.30 and 1,682.64 is: 2,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.18 : 5,856.30 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    3,906.18/5,856.30 = 1,682.64/x
  3. Step 3: Cross multiply
    3,906.18x = 5,856.30 × 1,682.64
  4. Step 4: Simplify right side
    3,906.18x = 9,854,044.63
  5. Step 5: Solve for x
    x = 9,854,044.63/3,906.18
  6. Step 6: Final answer
    x = 2,522.68

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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.