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Finding the Fourth Proportional to 3,738.03, 5,601.76 and 2,072.89

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Solution

The fourth proportional to 3,738.03, 5,601.76 and 2,072.89 is: 3,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.03 : 5,601.76 = 2,072.89 : x
  2. Step 2: Convert to fraction form
    3,738.03/5,601.76 = 2,072.89/x
  3. Step 3: Cross multiply
    3,738.03x = 5,601.76 × 2,072.89
  4. Step 4: Simplify right side
    3,738.03x = 11,611,820.87
  5. Step 5: Solve for x
    x = 11,611,820.87/3,738.03
  6. Step 6: Final answer
    x = 3,106.40

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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.