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Finding the Fourth Proportional to 4,238.78, 5,849.64 and 2,820.02

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Solution

The fourth proportional to 4,238.78, 5,849.64 and 2,820.02 is: 3,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.78 : 5,849.64 = 2,820.02 : x
  2. Step 2: Convert to fraction form
    4,238.78/5,849.64 = 2,820.02/x
  3. Step 3: Cross multiply
    4,238.78x = 5,849.64 × 2,820.02
  4. Step 4: Simplify right side
    4,238.78x = 16,496,101.79
  5. Step 5: Solve for x
    x = 16,496,101.79/4,238.78
  6. Step 6: Final answer
    x = 3,891.71

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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.