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Finding the Fourth Proportional to 4,097.93, 6,139.60 and 1,902.83

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Solution

The fourth proportional to 4,097.93, 6,139.60 and 1,902.83 is: 2,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.93 : 6,139.60 = 1,902.83 : x
  2. Step 2: Convert to fraction form
    4,097.93/6,139.60 = 1,902.83/x
  3. Step 3: Cross multiply
    4,097.93x = 6,139.60 × 1,902.83
  4. Step 4: Simplify right side
    4,097.93x = 11,682,579.61
  5. Step 5: Solve for x
    x = 11,682,579.61/4,097.93
  6. Step 6: Final answer
    x = 2,850.85

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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.