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Finding the Fourth Proportional to 3,691.52, 5,093.84 and 2,097.60

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Solution

The fourth proportional to 3,691.52, 5,093.84 and 2,097.60 is: 2,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.52 : 5,093.84 = 2,097.60 : x
  2. Step 2: Convert to fraction form
    3,691.52/5,093.84 = 2,097.60/x
  3. Step 3: Cross multiply
    3,691.52x = 5,093.84 × 2,097.60
  4. Step 4: Simplify right side
    3,691.52x = 10,684,828.30
  5. Step 5: Solve for x
    x = 10,684,828.30/3,691.52
  6. Step 6: Final answer
    x = 2,894.43

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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.