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Finding the Fourth Proportional to 3,738.84, 5,599.76 and 2,274.77

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Solution

The fourth proportional to 3,738.84, 5,599.76 and 2,274.77 is: 3,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.84 : 5,599.76 = 2,274.77 : x
  2. Step 2: Convert to fraction form
    3,738.84/5,599.76 = 2,274.77/x
  3. Step 3: Cross multiply
    3,738.84x = 5,599.76 × 2,274.77
  4. Step 4: Simplify right side
    3,738.84x = 12,738,126.68
  5. Step 5: Solve for x
    x = 12,738,126.68/3,738.84
  6. Step 6: Final answer
    x = 3,406.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.