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Finding the Fourth Proportional to 3,757.10, 5,183.18 and 2,264.18

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Solution

The fourth proportional to 3,757.10, 5,183.18 and 2,264.18 is: 3,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.10 : 5,183.18 = 2,264.18 : x
  2. Step 2: Convert to fraction form
    3,757.10/5,183.18 = 2,264.18/x
  3. Step 3: Cross multiply
    3,757.10x = 5,183.18 × 2,264.18
  4. Step 4: Simplify right side
    3,757.10x = 11,735,615.26
  5. Step 5: Solve for x
    x = 11,735,615.26/3,757.10
  6. Step 6: Final answer
    x = 3,123.58

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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.