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Finding the Fourth Proportional to 5,398.40, 8,091.52 and 4,096

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Solution

The fourth proportional to 5,398.40, 8,091.52 and 4,096 is: 6,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.40 : 8,091.52 = 4,096 : x
  2. Step 2: Convert to fraction form
    5,398.40/8,091.52 = 4,096/x
  3. Step 3: Cross multiply
    5,398.40x = 8,091.52 × 4,096
  4. Step 4: Simplify right side
    5,398.40x = 33,142,865.92
  5. Step 5: Solve for x
    x = 33,142,865.92/5,398.40
  6. Step 6: Final answer
    x = 6,139.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.