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Finding the Fourth Proportional to 3,760.57, 5,190.08 and 2,269.34

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Solution

The fourth proportional to 3,760.57, 5,190.08 and 2,269.34 is: 3,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.57 : 5,190.08 = 2,269.34 : x
  2. Step 2: Convert to fraction form
    3,760.57/5,190.08 = 2,269.34/x
  3. Step 3: Cross multiply
    3,760.57x = 5,190.08 × 2,269.34
  4. Step 4: Simplify right side
    3,760.57x = 11,778,056.15
  5. Step 5: Solve for x
    x = 11,778,056.15/3,760.57
  6. Step 6: Final answer
    x = 3,131.99

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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.