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Finding the Fourth Proportional to 5,122.93, 7,680.09 and 1,610.72

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Solution

The fourth proportional to 5,122.93, 7,680.09 and 1,610.72 is: 2,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.93 : 7,680.09 = 1,610.72 : x
  2. Step 2: Convert to fraction form
    5,122.93/7,680.09 = 1,610.72/x
  3. Step 3: Cross multiply
    5,122.93x = 7,680.09 × 1,610.72
  4. Step 4: Simplify right side
    5,122.93x = 12,370,474.56
  5. Step 5: Solve for x
    x = 12,370,474.56/5,122.93
  6. Step 6: Final answer
    x = 2,414.73

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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.