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Finding the Fourth Proportional to 3,781.59, 5,674.69 and 2,224.63

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Solution

The fourth proportional to 3,781.59, 5,674.69 and 2,224.63 is: 3,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.59 : 5,674.69 = 2,224.63 : x
  2. Step 2: Convert to fraction form
    3,781.59/5,674.69 = 2,224.63/x
  3. Step 3: Cross multiply
    3,781.59x = 5,674.69 × 2,224.63
  4. Step 4: Simplify right side
    3,781.59x = 12,624,095.49
  5. Step 5: Solve for x
    x = 12,624,095.49/3,781.59
  6. Step 6: Final answer
    x = 3,338.31

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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.