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Finding the Fourth Proportional to 3,756.34, 5,183.42 and 2,340.19

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Solution

The fourth proportional to 3,756.34, 5,183.42 and 2,340.19 is: 3,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.34 : 5,183.42 = 2,340.19 : x
  2. Step 2: Convert to fraction form
    3,756.34/5,183.42 = 2,340.19/x
  3. Step 3: Cross multiply
    3,756.34x = 5,183.42 × 2,340.19
  4. Step 4: Simplify right side
    3,756.34x = 12,130,187.65
  5. Step 5: Solve for x
    x = 12,130,187.65/3,756.34
  6. Step 6: Final answer
    x = 3,229.26

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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.