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Finding the Fourth Proportional to 3,856.92, 5,322.06 and 2,178.42

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Solution

The fourth proportional to 3,856.92, 5,322.06 and 2,178.42 is: 3,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.92 : 5,322.06 = 2,178.42 : x
  2. Step 2: Convert to fraction form
    3,856.92/5,322.06 = 2,178.42/x
  3. Step 3: Cross multiply
    3,856.92x = 5,322.06 × 2,178.42
  4. Step 4: Simplify right side
    3,856.92x = 11,593,681.95
  5. Step 5: Solve for x
    x = 11,593,681.95/3,856.92
  6. Step 6: Final answer
    x = 3,005.94

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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.