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Finding the Fourth Proportional to 3,174.88, 4,383.28 and 2,514.40

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Solution

The fourth proportional to 3,174.88, 4,383.28 and 2,514.40 is: 3,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.88 : 4,383.28 = 2,514.40 : x
  2. Step 2: Convert to fraction form
    3,174.88/4,383.28 = 2,514.40/x
  3. Step 3: Cross multiply
    3,174.88x = 4,383.28 × 2,514.40
  4. Step 4: Simplify right side
    3,174.88x = 11,021,319.23
  5. Step 5: Solve for x
    x = 11,021,319.23/3,174.88
  6. Step 6: Final answer
    x = 3,471.41

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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.