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Finding the Fourth Proportional to 3,894.92, 5,374.86 and 2,322.20

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Solution

The fourth proportional to 3,894.92, 5,374.86 and 2,322.20 is: 3,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.92 : 5,374.86 = 2,322.20 : x
  2. Step 2: Convert to fraction form
    3,894.92/5,374.86 = 2,322.20/x
  3. Step 3: Cross multiply
    3,894.92x = 5,374.86 × 2,322.20
  4. Step 4: Simplify right side
    3,894.92x = 12,481,499.89
  5. Step 5: Solve for x
    x = 12,481,499.89/3,894.92
  6. Step 6: Final answer
    x = 3,204.56

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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.