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Finding the Fourth Proportional to 3,722.06, 5,172.06 and 3,681.56

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Solution

The fourth proportional to 3,722.06, 5,172.06 and 3,681.56 is: 5,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.06 : 5,172.06 = 3,681.56 : x
  2. Step 2: Convert to fraction form
    3,722.06/5,172.06 = 3,681.56/x
  3. Step 3: Cross multiply
    3,722.06x = 5,172.06 × 3,681.56
  4. Step 4: Simplify right side
    3,722.06x = 19,041,249.21
  5. Step 5: Solve for x
    x = 19,041,249.21/3,722.06
  6. Step 6: Final answer
    x = 5,115.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.