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Finding the Fourth Proportional to 4,694.28, 7,034.84 and 3,649.50

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Solution

The fourth proportional to 4,694.28, 7,034.84 and 3,649.50 is: 5,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.28 : 7,034.84 = 3,649.50 : x
  2. Step 2: Convert to fraction form
    4,694.28/7,034.84 = 3,649.50/x
  3. Step 3: Cross multiply
    4,694.28x = 7,034.84 × 3,649.50
  4. Step 4: Simplify right side
    4,694.28x = 25,673,648.58
  5. Step 5: Solve for x
    x = 25,673,648.58/4,694.28
  6. Step 6: Final answer
    x = 5,469.13

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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.