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Finding the Fourth Proportional to 5,099.30, 7,034.43 and 3,400.73

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Solution

The fourth proportional to 5,099.30, 7,034.43 and 3,400.73 is: 4,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.30 : 7,034.43 = 3,400.73 : x
  2. Step 2: Convert to fraction form
    5,099.30/7,034.43 = 3,400.73/x
  3. Step 3: Cross multiply
    5,099.30x = 7,034.43 × 3,400.73
  4. Step 4: Simplify right side
    5,099.30x = 23,922,197.13
  5. Step 5: Solve for x
    x = 23,922,197.13/5,099.30
  6. Step 6: Final answer
    x = 4,691.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.