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Finding the Fourth Proportional to 5,169.10, 7,754.52 and 1,610.38

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Solution

The fourth proportional to 5,169.10, 7,754.52 and 1,610.38 is: 2,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.10 : 7,754.52 = 1,610.38 : x
  2. Step 2: Convert to fraction form
    5,169.10/7,754.52 = 1,610.38/x
  3. Step 3: Cross multiply
    5,169.10x = 7,754.52 × 1,610.38
  4. Step 4: Simplify right side
    5,169.10x = 12,487,723.92
  5. Step 5: Solve for x
    x = 12,487,723.92/5,169.10
  6. Step 6: Final answer
    x = 2,415.84

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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.