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Finding the Fourth Proportional to 4,000.14, 6,003.77 and 3,985.25

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Solution

The fourth proportional to 4,000.14, 6,003.77 and 3,985.25 is: 5,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.14 : 6,003.77 = 3,985.25 : x
  2. Step 2: Convert to fraction form
    4,000.14/6,003.77 = 3,985.25/x
  3. Step 3: Cross multiply
    4,000.14x = 6,003.77 × 3,985.25
  4. Step 4: Simplify right side
    4,000.14x = 23,926,524.39
  5. Step 5: Solve for x
    x = 23,926,524.39/4,000.14
  6. Step 6: Final answer
    x = 5,981.42

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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.