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Finding the Fourth Proportional to 3,992.34, 5,987.62 and 1,180.47

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Solution

The fourth proportional to 3,992.34, 5,987.62 and 1,180.47 is: 1,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.34 : 5,987.62 = 1,180.47 : x
  2. Step 2: Convert to fraction form
    3,992.34/5,987.62 = 1,180.47/x
  3. Step 3: Cross multiply
    3,992.34x = 5,987.62 × 1,180.47
  4. Step 4: Simplify right side
    3,992.34x = 7,068,205.78
  5. Step 5: Solve for x
    x = 7,068,205.78/3,992.34
  6. Step 6: Final answer
    x = 1,770.44

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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.