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Finding the Fourth Proportional to 5,791.52, 8,688.38 and 1,896.16

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Solution

The fourth proportional to 5,791.52, 8,688.38 and 1,896.16 is: 2,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.52 : 8,688.38 = 1,896.16 : x
  2. Step 2: Convert to fraction form
    5,791.52/8,688.38 = 1,896.16/x
  3. Step 3: Cross multiply
    5,791.52x = 8,688.38 × 1,896.16
  4. Step 4: Simplify right side
    5,791.52x = 16,474,558.62
  5. Step 5: Solve for x
    x = 16,474,558.62/5,791.52
  6. Step 6: Final answer
    x = 2,844.60

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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.