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Finding the Fourth Proportional to 3,696.57, 5,544.84 and 1,099.50

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Solution

The fourth proportional to 3,696.57, 5,544.84 and 1,099.50 is: 1,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.57 : 5,544.84 = 1,099.50 : x
  2. Step 2: Convert to fraction form
    3,696.57/5,544.84 = 1,099.50/x
  3. Step 3: Cross multiply
    3,696.57x = 5,544.84 × 1,099.50
  4. Step 4: Simplify right side
    3,696.57x = 6,096,551.58
  5. Step 5: Solve for x
    x = 6,096,551.58/3,696.57
  6. Step 6: Final answer
    x = 1,649.25

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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.