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Finding the Fourth Proportional to 3,770.32, 5,189.94 and 3,349.96

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Solution

The fourth proportional to 3,770.32, 5,189.94 and 3,349.96 is: 4,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.32 : 5,189.94 = 3,349.96 : x
  2. Step 2: Convert to fraction form
    3,770.32/5,189.94 = 3,349.96/x
  3. Step 3: Cross multiply
    3,770.32x = 5,189.94 × 3,349.96
  4. Step 4: Simplify right side
    3,770.32x = 17,386,091.40
  5. Step 5: Solve for x
    x = 17,386,091.40/3,770.32
  6. Step 6: Final answer
    x = 4,611.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.