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Finding the Fourth Proportional to 3,998.16, 5,514.48 and 3,003.48

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Solution

The fourth proportional to 3,998.16, 5,514.48 and 3,003.48 is: 4,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.16 : 5,514.48 = 3,003.48 : x
  2. Step 2: Convert to fraction form
    3,998.16/5,514.48 = 3,003.48/x
  3. Step 3: Cross multiply
    3,998.16x = 5,514.48 × 3,003.48
  4. Step 4: Simplify right side
    3,998.16x = 16,562,630.39
  5. Step 5: Solve for x
    x = 16,562,630.39/3,998.16
  6. Step 6: Final answer
    x = 4,142.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.