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Finding the Fourth Proportional to 3,649.91, 5,472.16 and 1,456.97

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Solution

The fourth proportional to 3,649.91, 5,472.16 and 1,456.97 is: 2,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.91 : 5,472.16 = 1,456.97 : x
  2. Step 2: Convert to fraction form
    3,649.91/5,472.16 = 1,456.97/x
  3. Step 3: Cross multiply
    3,649.91x = 5,472.16 × 1,456.97
  4. Step 4: Simplify right side
    3,649.91x = 7,972,741.95
  5. Step 5: Solve for x
    x = 7,972,741.95/3,649.91
  6. Step 6: Final answer
    x = 2,184.37

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1.5x scale

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.