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Finding the Fourth Proportional to 5,118.80, 7,678.36 and 1,998.68

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Solution

The fourth proportional to 5,118.80, 7,678.36 and 1,998.68 is: 2,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.80 : 7,678.36 = 1,998.68 : x
  2. Step 2: Convert to fraction form
    5,118.80/7,678.36 = 1,998.68/x
  3. Step 3: Cross multiply
    5,118.80x = 7,678.36 × 1,998.68
  4. Step 4: Simplify right side
    5,118.80x = 15,346,584.56
  5. Step 5: Solve for x
    x = 15,346,584.56/5,118.80
  6. Step 6: Final answer
    x = 2,998.08

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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.