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Finding the Fourth Proportional to 4,238.15, 5,846.63 and 2,822.49

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Solution

The fourth proportional to 4,238.15, 5,846.63 and 2,822.49 is: 3,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.15 : 5,846.63 = 2,822.49 : x
  2. Step 2: Convert to fraction form
    4,238.15/5,846.63 = 2,822.49/x
  3. Step 3: Cross multiply
    4,238.15x = 5,846.63 × 2,822.49
  4. Step 4: Simplify right side
    4,238.15x = 16,502,040.60
  5. Step 5: Solve for x
    x = 16,502,040.60/4,238.15
  6. Step 6: Final answer
    x = 3,893.69

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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.