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Finding the Fourth Proportional to 4,172.25, 5,727.03 and 3,689.57

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Solution

The fourth proportional to 4,172.25, 5,727.03 and 3,689.57 is: 5,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.25 : 5,727.03 = 3,689.57 : x
  2. Step 2: Convert to fraction form
    4,172.25/5,727.03 = 3,689.57/x
  3. Step 3: Cross multiply
    4,172.25x = 5,727.03 × 3,689.57
  4. Step 4: Simplify right side
    4,172.25x = 21,130,230.99
  5. Step 5: Solve for x
    x = 21,130,230.99/4,172.25
  6. Step 6: Final answer
    x = 5,064.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.