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Finding the Fourth Proportional to 5,998.60, 8,278.48 and 4,230.80

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Solution

The fourth proportional to 5,998.60, 8,278.48 and 4,230.80 is: 5,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.60 : 8,278.48 = 4,230.80 : x
  2. Step 2: Convert to fraction form
    5,998.60/8,278.48 = 4,230.80/x
  3. Step 3: Cross multiply
    5,998.60x = 8,278.48 × 4,230.80
  4. Step 4: Simplify right side
    5,998.60x = 35,024,593.18
  5. Step 5: Solve for x
    x = 35,024,593.18/5,998.60
  6. Step 6: Final answer
    x = 5,838.79

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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.