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Finding the Fourth Proportional to 3,878.94, 5,850.03 and 3,747.70

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Solution

The fourth proportional to 3,878.94, 5,850.03 and 3,747.70 is: 5,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.94 : 5,850.03 = 3,747.70 : x
  2. Step 2: Convert to fraction form
    3,878.94/5,850.03 = 3,747.70/x
  3. Step 3: Cross multiply
    3,878.94x = 5,850.03 × 3,747.70
  4. Step 4: Simplify right side
    3,878.94x = 21,924,138.69
  5. Step 5: Solve for x
    x = 21,924,138.69/3,878.94
  6. Step 6: Final answer
    x = 5,652.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.