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Finding the Fourth Proportional to 3,872.47, 5,809.81 and 1,406.62

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Solution

The fourth proportional to 3,872.47, 5,809.81 and 1,406.62 is: 2,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.47 : 5,809.81 = 1,406.62 : x
  2. Step 2: Convert to fraction form
    3,872.47/5,809.81 = 1,406.62/x
  3. Step 3: Cross multiply
    3,872.47x = 5,809.81 × 1,406.62
  4. Step 4: Simplify right side
    3,872.47x = 8,172,194.94
  5. Step 5: Solve for x
    x = 8,172,194.94/3,872.47
  6. Step 6: Final answer
    x = 2,110.33

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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.