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Finding the Fourth Proportional to 4,165.10, 6,229.28 and 3,706.10

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Solution

The fourth proportional to 4,165.10, 6,229.28 and 3,706.10 is: 5,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.10 : 6,229.28 = 3,706.10 : x
  2. Step 2: Convert to fraction form
    4,165.10/6,229.28 = 3,706.10/x
  3. Step 3: Cross multiply
    4,165.10x = 6,229.28 × 3,706.10
  4. Step 4: Simplify right side
    4,165.10x = 23,086,334.61
  5. Step 5: Solve for x
    x = 23,086,334.61/4,165.10
  6. Step 6: Final answer
    x = 5,542.80

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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.