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Finding the Fourth Proportional to 3,082.75, 4,256.41 and 2,783.40

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Solution

The fourth proportional to 3,082.75, 4,256.41 and 2,783.40 is: 3,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.75 : 4,256.41 = 2,783.40 : x
  2. Step 2: Convert to fraction form
    3,082.75/4,256.41 = 2,783.40/x
  3. Step 3: Cross multiply
    3,082.75x = 4,256.41 × 2,783.40
  4. Step 4: Simplify right side
    3,082.75x = 11,847,291.59
  5. Step 5: Solve for x
    x = 11,847,291.59/3,082.75
  6. Step 6: Final answer
    x = 3,843.09

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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.