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Finding the Fourth Proportional to 3,676.29, 5,514.42 and 902.94

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Solution

The fourth proportional to 3,676.29, 5,514.42 and 902.94 is: 1,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.29 : 5,514.42 = 902.94 : x
  2. Step 2: Convert to fraction form
    3,676.29/5,514.42 = 902.94/x
  3. Step 3: Cross multiply
    3,676.29x = 5,514.42 × 902.94
  4. Step 4: Simplify right side
    3,676.29x = 4,979,190.39
  5. Step 5: Solve for x
    x = 4,979,190.39/3,676.29
  6. Step 6: Final answer
    x = 1,354.41

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1.5x scale

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.