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Finding the Fourth Proportional to 3,881.71, 5,817.32 and 2,124.06

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Solution

The fourth proportional to 3,881.71, 5,817.32 and 2,124.06 is: 3,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.71 : 5,817.32 = 2,124.06 : x
  2. Step 2: Convert to fraction form
    3,881.71/5,817.32 = 2,124.06/x
  3. Step 3: Cross multiply
    3,881.71x = 5,817.32 × 2,124.06
  4. Step 4: Simplify right side
    3,881.71x = 12,356,336.72
  5. Step 5: Solve for x
    x = 12,356,336.72/3,881.71
  6. Step 6: Final answer
    x = 3,183.22

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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.