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Finding the Fourth Proportional to 3,676.88, 5,074.04 and 1,998.24

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Solution

The fourth proportional to 3,676.88, 5,074.04 and 1,998.24 is: 2,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.88 : 5,074.04 = 1,998.24 : x
  2. Step 2: Convert to fraction form
    3,676.88/5,074.04 = 1,998.24/x
  3. Step 3: Cross multiply
    3,676.88x = 5,074.04 × 1,998.24
  4. Step 4: Simplify right side
    3,676.88x = 10,139,139.70
  5. Step 5: Solve for x
    x = 10,139,139.70/3,676.88
  6. Step 6: Final answer
    x = 2,757.54

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Double scale
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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.