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Finding the Fourth Proportional to 5,398.36, 8,097.84 and 2,278.66

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Solution

The fourth proportional to 5,398.36, 8,097.84 and 2,278.66 is: 3,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.36 : 8,097.84 = 2,278.66 : x
  2. Step 2: Convert to fraction form
    5,398.36/8,097.84 = 2,278.66/x
  3. Step 3: Cross multiply
    5,398.36x = 8,097.84 × 2,278.66
  4. Step 4: Simplify right side
    5,398.36x = 18,452,224.09
  5. Step 5: Solve for x
    x = 18,452,224.09/5,398.36
  6. Step 6: Final answer
    x = 3,418.12

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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.