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Finding the Fourth Proportional to 3,698.42, 5,546.09 and 1,505.66

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Solution

The fourth proportional to 3,698.42, 5,546.09 and 1,505.66 is: 2,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.42 : 5,546.09 = 1,505.66 : x
  2. Step 2: Convert to fraction form
    3,698.42/5,546.09 = 1,505.66/x
  3. Step 3: Cross multiply
    3,698.42x = 5,546.09 × 1,505.66
  4. Step 4: Simplify right side
    3,698.42x = 8,350,501.90
  5. Step 5: Solve for x
    x = 8,350,501.90/3,698.42
  6. Step 6: Final answer
    x = 2,257.86

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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.