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Finding the Fourth Proportional to 3,901.96, 5,856.99 and 2,261.71

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Solution

The fourth proportional to 3,901.96, 5,856.99 and 2,261.71 is: 3,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.96 : 5,856.99 = 2,261.71 : x
  2. Step 2: Convert to fraction form
    3,901.96/5,856.99 = 2,261.71/x
  3. Step 3: Cross multiply
    3,901.96x = 5,856.99 × 2,261.71
  4. Step 4: Simplify right side
    3,901.96x = 13,246,772.26
  5. Step 5: Solve for x
    x = 13,246,772.26/3,901.96
  6. Step 6: Final answer
    x = 3,394.91

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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.