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Finding the Fourth Proportional to 5,285.80, 7,924.22 and 1,997.08

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Solution

The fourth proportional to 5,285.80, 7,924.22 and 1,997.08 is: 2,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.80 : 7,924.22 = 1,997.08 : x
  2. Step 2: Convert to fraction form
    5,285.80/7,924.22 = 1,997.08/x
  3. Step 3: Cross multiply
    5,285.80x = 7,924.22 × 1,997.08
  4. Step 4: Simplify right side
    5,285.80x = 15,825,301.28
  5. Step 5: Solve for x
    x = 15,825,301.28/5,285.80
  6. Step 6: Final answer
    x = 2,993.93

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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.