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Finding the Fourth Proportional to 3,893.22, 5,840.01 and 1,296.42

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Solution

The fourth proportional to 3,893.22, 5,840.01 and 1,296.42 is: 1,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,840.01 = 1,296.42 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,840.01 = 1,296.42/x
  3. Step 3: Cross multiply
    3,893.22x = 5,840.01 × 1,296.42
  4. Step 4: Simplify right side
    3,893.22x = 7,571,105.76
  5. Step 5: Solve for x
    x = 7,571,105.76/3,893.22
  6. Step 6: Final answer
    x = 1,944.69

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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.