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Finding the Fourth Proportional to 5,896.96, 8,138.85 and 3,539.25

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Solution

The fourth proportional to 5,896.96, 8,138.85 and 3,539.25 is: 4,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.96 : 8,138.85 = 3,539.25 : x
  2. Step 2: Convert to fraction form
    5,896.96/8,138.85 = 3,539.25/x
  3. Step 3: Cross multiply
    5,896.96x = 8,138.85 × 3,539.25
  4. Step 4: Simplify right side
    5,896.96x = 28,805,411.59
  5. Step 5: Solve for x
    x = 28,805,411.59/5,896.96
  6. Step 6: Final answer
    x = 4,884.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.