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Finding the Fourth Proportional to 5,930.96, 8,896.44 and 2,468.56

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Solution

The fourth proportional to 5,930.96, 8,896.44 and 2,468.56 is: 3,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.96 : 8,896.44 = 2,468.56 : x
  2. Step 2: Convert to fraction form
    5,930.96/8,896.44 = 2,468.56/x
  3. Step 3: Cross multiply
    5,930.96x = 8,896.44 × 2,468.56
  4. Step 4: Simplify right side
    5,930.96x = 21,961,395.93
  5. Step 5: Solve for x
    x = 21,961,395.93/5,930.96
  6. Step 6: Final answer
    x = 3,702.84

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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.