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Finding the Fourth Proportional to 5,342.80, 8,021.40 and 3,398.80

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Solution

The fourth proportional to 5,342.80, 8,021.40 and 3,398.80 is: 5,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.80 : 8,021.40 = 3,398.80 : x
  2. Step 2: Convert to fraction form
    5,342.80/8,021.40 = 3,398.80/x
  3. Step 3: Cross multiply
    5,342.80x = 8,021.40 × 3,398.80
  4. Step 4: Simplify right side
    5,342.80x = 27,263,134.32
  5. Step 5: Solve for x
    x = 27,263,134.32/5,342.80
  6. Step 6: Final answer
    x = 5,102.78

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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.