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Finding the Fourth Proportional to 5,258.83, 7,893.11 and 2,663.59

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Solution

The fourth proportional to 5,258.83, 7,893.11 and 2,663.59 is: 3,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.83 : 7,893.11 = 2,663.59 : x
  2. Step 2: Convert to fraction form
    5,258.83/7,893.11 = 2,663.59/x
  3. Step 3: Cross multiply
    5,258.83x = 7,893.11 × 2,663.59
  4. Step 4: Simplify right side
    5,258.83x = 21,023,995.55
  5. Step 5: Solve for x
    x = 21,023,995.55/5,258.83
  6. Step 6: Final answer
    x = 3,997.85

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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.