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Finding the Fourth Proportional to 3,856.92, 5,322.59 and 2,132.28

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Solution

The fourth proportional to 3,856.92, 5,322.59 and 2,132.28 is: 2,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.92 : 5,322.59 = 2,132.28 : x
  2. Step 2: Convert to fraction form
    3,856.92/5,322.59 = 2,132.28/x
  3. Step 3: Cross multiply
    3,856.92x = 5,322.59 × 2,132.28
  4. Step 4: Simplify right side
    3,856.92x = 11,349,241.54
  5. Step 5: Solve for x
    x = 11,349,241.54/3,856.92
  6. Step 6: Final answer
    x = 2,942.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.