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Finding the Fourth Proportional to 3,696.57, 5,101.43 and 2,017.91

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Solution

The fourth proportional to 3,696.57, 5,101.43 and 2,017.91 is: 2,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.57 : 5,101.43 = 2,017.91 : x
  2. Step 2: Convert to fraction form
    3,696.57/5,101.43 = 2,017.91/x
  3. Step 3: Cross multiply
    3,696.57x = 5,101.43 × 2,017.91
  4. Step 4: Simplify right side
    3,696.57x = 10,294,229.28
  5. Step 5: Solve for x
    x = 10,294,229.28/3,696.57
  6. Step 6: Final answer
    x = 2,784.81

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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.