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Finding the Fourth Proportional to 3,691.32, 5,093.78 and 2,097.78

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Solution

The fourth proportional to 3,691.32, 5,093.78 and 2,097.78 is: 2,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.32 : 5,093.78 = 2,097.78 : x
  2. Step 2: Convert to fraction form
    3,691.32/5,093.78 = 2,097.78/x
  3. Step 3: Cross multiply
    3,691.32x = 5,093.78 × 2,097.78
  4. Step 4: Simplify right side
    3,691.32x = 10,685,629.81
  5. Step 5: Solve for x
    x = 10,685,629.81/3,691.32
  6. Step 6: Final answer
    x = 2,894.80

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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.