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Finding the Fourth Proportional to 3,669.62, 5,063.73 and 2,972.66

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Solution

The fourth proportional to 3,669.62, 5,063.73 and 2,972.66 is: 4,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.62 : 5,063.73 = 2,972.66 : x
  2. Step 2: Convert to fraction form
    3,669.62/5,063.73 = 2,972.66/x
  3. Step 3: Cross multiply
    3,669.62x = 5,063.73 × 2,972.66
  4. Step 4: Simplify right side
    3,669.62x = 15,052,747.62
  5. Step 5: Solve for x
    x = 15,052,747.62/3,669.62
  6. Step 6: Final answer
    x = 4,101.99

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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.