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Finding the Fourth Proportional to 3,873.06, 5,809.64 and 1,099.80

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Solution

The fourth proportional to 3,873.06, 5,809.64 and 1,099.80 is: 1,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.06 : 5,809.64 = 1,099.80 : x
  2. Step 2: Convert to fraction form
    3,873.06/5,809.64 = 1,099.80/x
  3. Step 3: Cross multiply
    3,873.06x = 5,809.64 × 1,099.80
  4. Step 4: Simplify right side
    3,873.06x = 6,389,436.57
  5. Step 5: Solve for x
    x = 6,389,436.57/3,873.06
  6. Step 6: Final answer
    x = 1,649.71

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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.