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Finding the Fourth Proportional to 4,003.52, 6,003.74 and 2,767.18

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Solution

The fourth proportional to 4,003.52, 6,003.74 and 2,767.18 is: 4,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.52 : 6,003.74 = 2,767.18 : x
  2. Step 2: Convert to fraction form
    4,003.52/6,003.74 = 2,767.18/x
  3. Step 3: Cross multiply
    4,003.52x = 6,003.74 × 2,767.18
  4. Step 4: Simplify right side
    4,003.52x = 16,613,415.42
  5. Step 5: Solve for x
    x = 16,613,415.42/4,003.52
  6. Step 6: Final answer
    x = 4,149.71

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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.