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Finding the Fourth Proportional to 3,865.32, 5,334.13 and 2,096.92

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Solution

The fourth proportional to 3,865.32, 5,334.13 and 2,096.92 is: 2,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.32 : 5,334.13 = 2,096.92 : x
  2. Step 2: Convert to fraction form
    3,865.32/5,334.13 = 2,096.92/x
  3. Step 3: Cross multiply
    3,865.32x = 5,334.13 × 2,096.92
  4. Step 4: Simplify right side
    3,865.32x = 11,185,243.88
  5. Step 5: Solve for x
    x = 11,185,243.88/3,865.32
  6. Step 6: Final answer
    x = 2,893.74

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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.