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Finding the Fourth Proportional to 3,676.07, 5,514.10 and 940.07

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Solution

The fourth proportional to 3,676.07, 5,514.10 and 940.07 is: 1,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.07 : 5,514.10 = 940.07 : x
  2. Step 2: Convert to fraction form
    3,676.07/5,514.10 = 940.07/x
  3. Step 3: Cross multiply
    3,676.07x = 5,514.10 × 940.07
  4. Step 4: Simplify right side
    3,676.07x = 5,183,607.72
  5. Step 5: Solve for x
    x = 5,183,607.72/3,676.07
  6. Step 6: Final answer
    x = 1,410.10

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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.