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Finding the Fourth Proportional to 3,691.26, 5,092.72 and 2,097.72

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Solution

The fourth proportional to 3,691.26, 5,092.72 and 2,097.72 is: 2,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.26 : 5,092.72 = 2,097.72 : x
  2. Step 2: Convert to fraction form
    3,691.26/5,092.72 = 2,097.72/x
  3. Step 3: Cross multiply
    3,691.26x = 5,092.72 × 2,097.72
  4. Step 4: Simplify right side
    3,691.26x = 10,683,095.35
  5. Step 5: Solve for x
    x = 10,683,095.35/3,691.26
  6. Step 6: Final answer
    x = 2,894.16

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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.