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Finding the Fourth Proportional to 3,691.02, 5,093.49 and 2,097.54

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Solution

The fourth proportional to 3,691.02, 5,093.49 and 2,097.54 is: 2,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.02 : 5,093.49 = 2,097.54 : x
  2. Step 2: Convert to fraction form
    3,691.02/5,093.49 = 2,097.54/x
  3. Step 3: Cross multiply
    3,691.02x = 5,093.49 × 2,097.54
  4. Step 4: Simplify right side
    3,691.02x = 10,683,799.01
  5. Step 5: Solve for x
    x = 10,683,799.01/3,691.02
  6. Step 6: Final answer
    x = 2,894.54

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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.