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Finding the Fourth Proportional to 3,696.72, 5,541.74 and 2,511.17

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Solution

The fourth proportional to 3,696.72, 5,541.74 and 2,511.17 is: 3,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.72 : 5,541.74 = 2,511.17 : x
  2. Step 2: Convert to fraction form
    3,696.72/5,541.74 = 2,511.17/x
  3. Step 3: Cross multiply
    3,696.72x = 5,541.74 × 2,511.17
  4. Step 4: Simplify right side
    3,696.72x = 13,916,251.24
  5. Step 5: Solve for x
    x = 13,916,251.24/3,696.72
  6. Step 6: Final answer
    x = 3,764.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.