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Finding the Fourth Proportional to 4,137.33, 5,709.51 and 2,274.33

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Solution

The fourth proportional to 4,137.33, 5,709.51 and 2,274.33 is: 3,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.33 : 5,709.51 = 2,274.33 : x
  2. Step 2: Convert to fraction form
    4,137.33/5,709.51 = 2,274.33/x
  3. Step 3: Cross multiply
    4,137.33x = 5,709.51 × 2,274.33
  4. Step 4: Simplify right side
    4,137.33x = 12,985,305.57
  5. Step 5: Solve for x
    x = 12,985,305.57/4,137.33
  6. Step 6: Final answer
    x = 3,138.57

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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.