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Finding the Fourth Proportional to 3,696.87, 5,101.56 and 2,103.42

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Solution

The fourth proportional to 3,696.87, 5,101.56 and 2,103.42 is: 2,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.87 : 5,101.56 = 2,103.42 : x
  2. Step 2: Convert to fraction form
    3,696.87/5,101.56 = 2,103.42/x
  3. Step 3: Cross multiply
    3,696.87x = 5,101.56 × 2,103.42
  4. Step 4: Simplify right side
    3,696.87x = 10,730,723.34
  5. Step 5: Solve for x
    x = 10,730,723.34/3,696.87
  6. Step 6: Final answer
    x = 2,902.65

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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.