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Finding the Fourth Proportional to 3,906.30, 5,856.70 and 1,440.46

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Solution

The fourth proportional to 3,906.30, 5,856.70 and 1,440.46 is: 2,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.30 : 5,856.70 = 1,440.46 : x
  2. Step 2: Convert to fraction form
    3,906.30/5,856.70 = 1,440.46/x
  3. Step 3: Cross multiply
    3,906.30x = 5,856.70 × 1,440.46
  4. Step 4: Simplify right side
    3,906.30x = 8,436,342.08
  5. Step 5: Solve for x
    x = 8,436,342.08/3,906.30
  6. Step 6: Final answer
    x = 2,159.68

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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.