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Finding the Fourth Proportional to 3,784.07, 5,674.21 and 2,224.55

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Solution

The fourth proportional to 3,784.07, 5,674.21 and 2,224.55 is: 3,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.07 : 5,674.21 = 2,224.55 : x
  2. Step 2: Convert to fraction form
    3,784.07/5,674.21 = 2,224.55/x
  3. Step 3: Cross multiply
    3,784.07x = 5,674.21 × 2,224.55
  4. Step 4: Simplify right side
    3,784.07x = 12,622,572.48
  5. Step 5: Solve for x
    x = 12,622,572.48/3,784.07
  6. Step 6: Final answer
    x = 3,335.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.