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Finding the Fourth Proportional to 3,892.58, 5,829.15 and 2,427.29

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Solution

The fourth proportional to 3,892.58, 5,829.15 and 2,427.29 is: 3,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.58 : 5,829.15 = 2,427.29 : x
  2. Step 2: Convert to fraction form
    3,892.58/5,829.15 = 2,427.29/x
  3. Step 3: Cross multiply
    3,892.58x = 5,829.15 × 2,427.29
  4. Step 4: Simplify right side
    3,892.58x = 14,149,037.50
  5. Step 5: Solve for x
    x = 14,149,037.50/3,892.58
  6. Step 6: Final answer
    x = 3,634.87

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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.