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Finding the Fourth Proportional to 3,856.87, 5,322.22 and 2,178.35

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Solution

The fourth proportional to 3,856.87, 5,322.22 and 2,178.35 is: 3,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.87 : 5,322.22 = 2,178.35 : x
  2. Step 2: Convert to fraction form
    3,856.87/5,322.22 = 2,178.35/x
  3. Step 3: Cross multiply
    3,856.87x = 5,322.22 × 2,178.35
  4. Step 4: Simplify right side
    3,856.87x = 11,593,625.88
  5. Step 5: Solve for x
    x = 11,593,625.88/3,856.87
  6. Step 6: Final answer
    x = 3,005.97

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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.