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Finding the Fourth Proportional to 3,841.67, 5,755.11 and 2,356.56

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Solution

The fourth proportional to 3,841.67, 5,755.11 and 2,356.56 is: 3,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.67 : 5,755.11 = 2,356.56 : x
  2. Step 2: Convert to fraction form
    3,841.67/5,755.11 = 2,356.56/x
  3. Step 3: Cross multiply
    3,841.67x = 5,755.11 × 2,356.56
  4. Step 4: Simplify right side
    3,841.67x = 13,562,233.25
  5. Step 5: Solve for x
    x = 13,562,233.25/3,841.67
  6. Step 6: Final answer
    x = 3,530.30

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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.