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Finding the Fourth Proportional to 5,739.05, 7,919.98 and 5,540.40

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Solution

The fourth proportional to 5,739.05, 7,919.98 and 5,540.40 is: 7,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.05 : 7,919.98 = 5,540.40 : x
  2. Step 2: Convert to fraction form
    5,739.05/7,919.98 = 5,540.40/x
  3. Step 3: Cross multiply
    5,739.05x = 7,919.98 × 5,540.40
  4. Step 4: Simplify right side
    5,739.05x = 43,879,843.34
  5. Step 5: Solve for x
    x = 43,879,843.34/5,739.05
  6. Step 6: Final answer
    x = 7,645.83

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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.