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Finding the Fourth Proportional to 5,174.74, 7,144.05 and 3,961.14

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Solution

The fourth proportional to 5,174.74, 7,144.05 and 3,961.14 is: 5,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.74 : 7,144.05 = 3,961.14 : x
  2. Step 2: Convert to fraction form
    5,174.74/7,144.05 = 3,961.14/x
  3. Step 3: Cross multiply
    5,174.74x = 7,144.05 × 3,961.14
  4. Step 4: Simplify right side
    5,174.74x = 28,298,582.22
  5. Step 5: Solve for x
    x = 28,298,582.22/5,174.74
  6. Step 6: Final answer
    x = 5,468.60

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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.