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Finding the Fourth Proportional to 3,837, 5,754.69 and 3,110.70

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Solution

The fourth proportional to 3,837, 5,754.69 and 3,110.70 is: 4,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,754.69 = 3,110.70 : x
  2. Step 2: Convert to fraction form
    3,837/5,754.69 = 3,110.70/x
  3. Step 3: Cross multiply
    3,837x = 5,754.69 × 3,110.70
  4. Step 4: Simplify right side
    3,837x = 17,901,114.18
  5. Step 5: Solve for x
    x = 17,901,114.18/3,837
  6. Step 6: Final answer
    x = 4,665.39

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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.