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Finding the Fourth Proportional to 4,137.50, 5,709.76 and 2,274.50

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Solution

The fourth proportional to 4,137.50, 5,709.76 and 2,274.50 is: 3,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.50 : 5,709.76 = 2,274.50 : x
  2. Step 2: Convert to fraction form
    4,137.50/5,709.76 = 2,274.50/x
  3. Step 3: Cross multiply
    4,137.50x = 5,709.76 × 2,274.50
  4. Step 4: Simplify right side
    4,137.50x = 12,986,849.12
  5. Step 5: Solve for x
    x = 12,986,849.12/4,137.50
  6. Step 6: Final answer
    x = 3,138.82

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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.