Home / 3,824.76-5,742.90-2,183.16

Finding the Fourth Proportional to 3,824.76, 5,742.90 and 2,183.16

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Solution

The fourth proportional to 3,824.76, 5,742.90 and 2,183.16 is: 3,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.76 : 5,742.90 = 2,183.16 : x
  2. Step 2: Convert to fraction form
    3,824.76/5,742.90 = 2,183.16/x
  3. Step 3: Cross multiply
    3,824.76x = 5,742.90 × 2,183.16
  4. Step 4: Simplify right side
    3,824.76x = 12,537,669.56
  5. Step 5: Solve for x
    x = 12,537,669.56/3,824.76
  6. Step 6: Final answer
    x = 3,278.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.