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Finding the Fourth Proportional to 5,998.78, 8,278.68 and 3,346.57

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Solution

The fourth proportional to 5,998.78, 8,278.68 and 3,346.57 is: 4,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.78 : 8,278.68 = 3,346.57 : x
  2. Step 2: Convert to fraction form
    5,998.78/8,278.68 = 3,346.57/x
  3. Step 3: Cross multiply
    5,998.78x = 8,278.68 × 3,346.57
  4. Step 4: Simplify right side
    5,998.78x = 27,705,182.13
  5. Step 5: Solve for x
    x = 27,705,182.13/5,998.78
  6. Step 6: Final answer
    x = 4,618.47

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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.