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Finding the Fourth Proportional to 3,661.42, 5,493.62 and 2,017.80

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Solution

The fourth proportional to 3,661.42, 5,493.62 and 2,017.80 is: 3,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.42 : 5,493.62 = 2,017.80 : x
  2. Step 2: Convert to fraction form
    3,661.42/5,493.62 = 2,017.80/x
  3. Step 3: Cross multiply
    3,661.42x = 5,493.62 × 2,017.80
  4. Step 4: Simplify right side
    3,661.42x = 11,085,026.44
  5. Step 5: Solve for x
    x = 11,085,026.44/3,661.42
  6. Step 6: Final answer
    x = 3,027.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.