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Finding the Fourth Proportional to 4,331.82, 6,494.24 and 3,985.85

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Solution

The fourth proportional to 4,331.82, 6,494.24 and 3,985.85 is: 5,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.82 : 6,494.24 = 3,985.85 : x
  2. Step 2: Convert to fraction form
    4,331.82/6,494.24 = 3,985.85/x
  3. Step 3: Cross multiply
    4,331.82x = 6,494.24 × 3,985.85
  4. Step 4: Simplify right side
    4,331.82x = 25,885,066.50
  5. Step 5: Solve for x
    x = 25,885,066.50/4,331.82
  6. Step 6: Final answer
    x = 5,975.56

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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.