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Finding the Fourth Proportional to 3,671.66, 5,507.50 and 1,074.60

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Solution

The fourth proportional to 3,671.66, 5,507.50 and 1,074.60 is: 1,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.66 : 5,507.50 = 1,074.60 : x
  2. Step 2: Convert to fraction form
    3,671.66/5,507.50 = 1,074.60/x
  3. Step 3: Cross multiply
    3,671.66x = 5,507.50 × 1,074.60
  4. Step 4: Simplify right side
    3,671.66x = 5,918,331.96
  5. Step 5: Solve for x
    x = 5,918,331.96/3,671.66
  6. Step 6: Final answer
    x = 1,611.90

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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.