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Finding the Fourth Proportional to 3,671.11, 5,507.07 and 1,074.25

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Solution

The fourth proportional to 3,671.11, 5,507.07 and 1,074.25 is: 1,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.11 : 5,507.07 = 1,074.25 : x
  2. Step 2: Convert to fraction form
    3,671.11/5,507.07 = 1,074.25/x
  3. Step 3: Cross multiply
    3,671.11x = 5,507.07 × 1,074.25
  4. Step 4: Simplify right side
    3,671.11x = 5,915,969.95
  5. Step 5: Solve for x
    x = 5,915,969.95/3,671.11
  6. Step 6: Final answer
    x = 1,611.49

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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.