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Finding the Fourth Proportional to 3,800.89, 5,697.68 and 2,686.83

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Solution

The fourth proportional to 3,800.89, 5,697.68 and 2,686.83 is: 4,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.89 : 5,697.68 = 2,686.83 : x
  2. Step 2: Convert to fraction form
    3,800.89/5,697.68 = 2,686.83/x
  3. Step 3: Cross multiply
    3,800.89x = 5,697.68 × 2,686.83
  4. Step 4: Simplify right side
    3,800.89x = 15,308,697.55
  5. Step 5: Solve for x
    x = 15,308,697.55/3,800.89
  6. Step 6: Final answer
    x = 4,027.66

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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.