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Finding the Fourth Proportional to 3,843.93, 5,765.79 and 1,070.49

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Solution

The fourth proportional to 3,843.93, 5,765.79 and 1,070.49 is: 1,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.93 : 5,765.79 = 1,070.49 : x
  2. Step 2: Convert to fraction form
    3,843.93/5,765.79 = 1,070.49/x
  3. Step 3: Cross multiply
    3,843.93x = 5,765.79 × 1,070.49
  4. Step 4: Simplify right side
    3,843.93x = 6,172,223.21
  5. Step 5: Solve for x
    x = 6,172,223.21/3,843.93
  6. Step 6: Final answer
    x = 1,605.71

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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.