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Finding the Fourth Proportional to 3,784.56, 5,672.63 and 2,857.11

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Solution

The fourth proportional to 3,784.56, 5,672.63 and 2,857.11 is: 4,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.56 : 5,672.63 = 2,857.11 : x
  2. Step 2: Convert to fraction form
    3,784.56/5,672.63 = 2,857.11/x
  3. Step 3: Cross multiply
    3,784.56x = 5,672.63 × 2,857.11
  4. Step 4: Simplify right side
    3,784.56x = 16,207,327.90
  5. Step 5: Solve for x
    x = 16,207,327.90/3,784.56
  6. Step 6: Final answer
    x = 4,282.49

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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.