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Finding the Fourth Proportional to 3,696.72, 5,100.16 and 2,371.16

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Solution

The fourth proportional to 3,696.72, 5,100.16 and 2,371.16 is: 3,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.72 : 5,100.16 = 2,371.16 : x
  2. Step 2: Convert to fraction form
    3,696.72/5,100.16 = 2,371.16/x
  3. Step 3: Cross multiply
    3,696.72x = 5,100.16 × 2,371.16
  4. Step 4: Simplify right side
    3,696.72x = 12,093,295.39
  5. Step 5: Solve for x
    x = 12,093,295.39/3,696.72
  6. Step 6: Final answer
    x = 3,271.36

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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.