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Finding the Fourth Proportional to 3,847.84, 5,771.84 and 1,539.36

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Solution

The fourth proportional to 3,847.84, 5,771.84 and 1,539.36 is: 2,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.84 : 5,771.84 = 1,539.36 : x
  2. Step 2: Convert to fraction form
    3,847.84/5,771.84 = 1,539.36/x
  3. Step 3: Cross multiply
    3,847.84x = 5,771.84 × 1,539.36
  4. Step 4: Simplify right side
    3,847.84x = 8,884,939.62
  5. Step 5: Solve for x
    x = 8,884,939.62/3,847.84
  6. Step 6: Final answer
    x = 2,309.07

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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.