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Finding the Fourth Proportional to 3,397.73, 5,098.50 and 1,837.70

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Solution

The fourth proportional to 3,397.73, 5,098.50 and 1,837.70 is: 2,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.73 : 5,098.50 = 1,837.70 : x
  2. Step 2: Convert to fraction form
    3,397.73/5,098.50 = 1,837.70/x
  3. Step 3: Cross multiply
    3,397.73x = 5,098.50 × 1,837.70
  4. Step 4: Simplify right side
    3,397.73x = 9,369,513.45
  5. Step 5: Solve for x
    x = 9,369,513.45/3,397.73
  6. Step 6: Final answer
    x = 2,757.58

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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.