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Finding the Fourth Proportional to 4,649.49, 6,974.24 and 3,269

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Solution

The fourth proportional to 4,649.49, 6,974.24 and 3,269 is: 4,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.49 : 6,974.24 = 3,269 : x
  2. Step 2: Convert to fraction form
    4,649.49/6,974.24 = 3,269/x
  3. Step 3: Cross multiply
    4,649.49x = 6,974.24 × 3,269
  4. Step 4: Simplify right side
    4,649.49x = 22,798,790.56
  5. Step 5: Solve for x
    x = 22,798,790.56/4,649.49
  6. Step 6: Final answer
    x = 4,903.50

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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.