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Finding the Fourth Proportional to 3,906.01, 5,856.28 and 1,440.51

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Solution

The fourth proportional to 3,906.01, 5,856.28 and 1,440.51 is: 2,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.01 : 5,856.28 = 1,440.51 : x
  2. Step 2: Convert to fraction form
    3,906.01/5,856.28 = 1,440.51/x
  3. Step 3: Cross multiply
    3,906.01x = 5,856.28 × 1,440.51
  4. Step 4: Simplify right side
    3,906.01x = 8,436,029.90
  5. Step 5: Solve for x
    x = 8,436,029.90/3,906.01
  6. Step 6: Final answer
    x = 2,159.76

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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.