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Finding the Fourth Proportional to 3,737.14, 5,605.71 and 1,272.22

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Solution

The fourth proportional to 3,737.14, 5,605.71 and 1,272.22 is: 1,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.14 : 5,605.71 = 1,272.22 : x
  2. Step 2: Convert to fraction form
    3,737.14/5,605.71 = 1,272.22/x
  3. Step 3: Cross multiply
    3,737.14x = 5,605.71 × 1,272.22
  4. Step 4: Simplify right side
    3,737.14x = 7,131,696.38
  5. Step 5: Solve for x
    x = 7,131,696.38/3,737.14
  6. Step 6: Final answer
    x = 1,908.33

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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.