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Finding the Fourth Proportional to 5,693.96, 8,539.32 and 3,610.82

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Solution

The fourth proportional to 5,693.96, 8,539.32 and 3,610.82 is: 5,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.96 : 8,539.32 = 3,610.82 : x
  2. Step 2: Convert to fraction form
    5,693.96/8,539.32 = 3,610.82/x
  3. Step 3: Cross multiply
    5,693.96x = 8,539.32 × 3,610.82
  4. Step 4: Simplify right side
    5,693.96x = 30,833,947.44
  5. Step 5: Solve for x
    x = 30,833,947.44/5,693.96
  6. Step 6: Final answer
    x = 5,415.20

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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.