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Finding the Fourth Proportional to 3,847.96, 5,772.66 and 1,539.64

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Solution

The fourth proportional to 3,847.96, 5,772.66 and 1,539.64 is: 2,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.96 : 5,772.66 = 1,539.64 : x
  2. Step 2: Convert to fraction form
    3,847.96/5,772.66 = 1,539.64/x
  3. Step 3: Cross multiply
    3,847.96x = 5,772.66 × 1,539.64
  4. Step 4: Simplify right side
    3,847.96x = 8,887,818.24
  5. Step 5: Solve for x
    x = 8,887,818.24/3,847.96
  6. Step 6: Final answer
    x = 2,309.75

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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.