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Finding the Fourth Proportional to 4,610.40, 6,362 and 2,514.48

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Solution

The fourth proportional to 4,610.40, 6,362 and 2,514.48 is: 3,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.40 : 6,362 = 2,514.48 : x
  2. Step 2: Convert to fraction form
    4,610.40/6,362 = 2,514.48/x
  3. Step 3: Cross multiply
    4,610.40x = 6,362 × 2,514.48
  4. Step 4: Simplify right side
    4,610.40x = 15,997,121.76
  5. Step 5: Solve for x
    x = 15,997,121.76/4,610.40
  6. Step 6: Final answer
    x = 3,469.79

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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.