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Finding the Fourth Proportional to 3,893.12, 5,840.52 and 1,296.32

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Solution

The fourth proportional to 3,893.12, 5,840.52 and 1,296.32 is: 1,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.12 : 5,840.52 = 1,296.32 : x
  2. Step 2: Convert to fraction form
    3,893.12/5,840.52 = 1,296.32/x
  3. Step 3: Cross multiply
    3,893.12x = 5,840.52 × 1,296.32
  4. Step 4: Simplify right side
    3,893.12x = 7,571,182.89
  5. Step 5: Solve for x
    x = 7,571,182.89/3,893.12
  6. Step 6: Final answer
    x = 1,944.76

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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.