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Finding the Fourth Proportional to 5,839.94, 8,751.72 and 5,189.34

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Solution

The fourth proportional to 5,839.94, 8,751.72 and 5,189.34 is: 7,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.94 : 8,751.72 = 5,189.34 : x
  2. Step 2: Convert to fraction form
    5,839.94/8,751.72 = 5,189.34/x
  3. Step 3: Cross multiply
    5,839.94x = 8,751.72 × 5,189.34
  4. Step 4: Simplify right side
    5,839.94x = 45,415,650.66
  5. Step 5: Solve for x
    x = 45,415,650.66/5,839.94
  6. Step 6: Final answer
    x = 7,776.73

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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.