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Finding the Fourth Proportional to 4,114.76, 6,174.14 and 1,805.96

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Solution

The fourth proportional to 4,114.76, 6,174.14 and 1,805.96 is: 2,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.76 : 6,174.14 = 1,805.96 : x
  2. Step 2: Convert to fraction form
    4,114.76/6,174.14 = 1,805.96/x
  3. Step 3: Cross multiply
    4,114.76x = 6,174.14 × 1,805.96
  4. Step 4: Simplify right side
    4,114.76x = 11,150,249.87
  5. Step 5: Solve for x
    x = 11,150,249.87/4,114.76
  6. Step 6: Final answer
    x = 2,709.82

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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.