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Finding the Fourth Proportional to 3,760.49, 5,180.19 and 3,199.16

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Solution

The fourth proportional to 3,760.49, 5,180.19 and 3,199.16 is: 4,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.49 : 5,180.19 = 3,199.16 : x
  2. Step 2: Convert to fraction form
    3,760.49/5,180.19 = 3,199.16/x
  3. Step 3: Cross multiply
    3,760.49x = 5,180.19 × 3,199.16
  4. Step 4: Simplify right side
    3,760.49x = 16,572,230.74
  5. Step 5: Solve for x
    x = 16,572,230.74/3,760.49
  6. Step 6: Final answer
    x = 4,406.94

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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.