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Finding the Fourth Proportional to 5,236.96, 7,856.16 and 1,539.44

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Solution

The fourth proportional to 5,236.96, 7,856.16 and 1,539.44 is: 2,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.96 : 7,856.16 = 1,539.44 : x
  2. Step 2: Convert to fraction form
    5,236.96/7,856.16 = 1,539.44/x
  3. Step 3: Cross multiply
    5,236.96x = 7,856.16 × 1,539.44
  4. Step 4: Simplify right side
    5,236.96x = 12,094,086.95
  5. Step 5: Solve for x
    x = 12,094,086.95/5,236.96
  6. Step 6: Final answer
    x = 2,309.37

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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.