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Finding the Fourth Proportional to 5,697.36, 8,546.00 and 1,998.74

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Solution

The fourth proportional to 5,697.36, 8,546.00 and 1,998.74 is: 2,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.36 : 8,546.00 = 1,998.74 : x
  2. Step 2: Convert to fraction form
    5,697.36/8,546.00 = 1,998.74/x
  3. Step 3: Cross multiply
    5,697.36x = 8,546.00 × 1,998.74
  4. Step 4: Simplify right side
    5,697.36x = 17,081,179.32
  5. Step 5: Solve for x
    x = 17,081,179.32/5,697.36
  6. Step 6: Final answer
    x = 2,998.09

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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.