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Finding the Fourth Proportional to 5,893.70, 8,840.64 and 1,998.20

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Solution

The fourth proportional to 5,893.70, 8,840.64 and 1,998.20 is: 2,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.70 : 8,840.64 = 1,998.20 : x
  2. Step 2: Convert to fraction form
    5,893.70/8,840.64 = 1,998.20/x
  3. Step 3: Cross multiply
    5,893.70x = 8,840.64 × 1,998.20
  4. Step 4: Simplify right side
    5,893.70x = 17,665,322.64
  5. Step 5: Solve for x
    x = 17,665,322.64/5,893.70
  6. Step 6: Final answer
    x = 2,997.33

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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.