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Finding the Fourth Proportional to 4,236, 5,846.94 and 2,977.42

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Solution

The fourth proportional to 4,236, 5,846.94 and 2,977.42 is: 4,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236 : 5,846.94 = 2,977.42 : x
  2. Step 2: Convert to fraction form
    4,236/5,846.94 = 2,977.42/x
  3. Step 3: Cross multiply
    4,236x = 5,846.94 × 2,977.42
  4. Step 4: Simplify right side
    4,236x = 17,408,796.09
  5. Step 5: Solve for x
    x = 17,408,796.09/4,236
  6. Step 6: Final answer
    x = 4,109.73

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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.