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Finding the Fourth Proportional to 3,770.90, 5,188.54 and 3,096.22

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Solution

The fourth proportional to 3,770.90, 5,188.54 and 3,096.22 is: 4,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.90 : 5,188.54 = 3,096.22 : x
  2. Step 2: Convert to fraction form
    3,770.90/5,188.54 = 3,096.22/x
  3. Step 3: Cross multiply
    3,770.90x = 5,188.54 × 3,096.22
  4. Step 4: Simplify right side
    3,770.90x = 16,064,861.32
  5. Step 5: Solve for x
    x = 16,064,861.32/3,770.90
  6. Step 6: Final answer
    x = 4,260.22

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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.