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Finding the Fourth Proportional to 3,872.77, 5,809.12 and 1,099.46

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Solution

The fourth proportional to 3,872.77, 5,809.12 and 1,099.46 is: 1,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.77 : 5,809.12 = 1,099.46 : x
  2. Step 2: Convert to fraction form
    3,872.77/5,809.12 = 1,099.46/x
  3. Step 3: Cross multiply
    3,872.77x = 5,809.12 × 1,099.46
  4. Step 4: Simplify right side
    3,872.77x = 6,386,906.85
  5. Step 5: Solve for x
    x = 6,386,906.85/3,872.77
  6. Step 6: Final answer
    x = 1,649.18

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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.