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Finding the Fourth Proportional to 5,849.87, 8,768.72 and 3,742.98

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Solution

The fourth proportional to 5,849.87, 8,768.72 and 3,742.98 is: 5,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.87 : 8,768.72 = 3,742.98 : x
  2. Step 2: Convert to fraction form
    5,849.87/8,768.72 = 3,742.98/x
  3. Step 3: Cross multiply
    5,849.87x = 8,768.72 × 3,742.98
  4. Step 4: Simplify right side
    5,849.87x = 32,821,194.05
  5. Step 5: Solve for x
    x = 32,821,194.05/5,849.87
  6. Step 6: Final answer
    x = 5,610.58

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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.