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Finding the Fourth Proportional to 3,845.67, 5,768.51 and 2,969.46

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Solution

The fourth proportional to 3,845.67, 5,768.51 and 2,969.46 is: 4,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.67 : 5,768.51 = 2,969.46 : x
  2. Step 2: Convert to fraction form
    3,845.67/5,768.51 = 2,969.46/x
  3. Step 3: Cross multiply
    3,845.67x = 5,768.51 × 2,969.46
  4. Step 4: Simplify right side
    3,845.67x = 17,129,344.86
  5. Step 5: Solve for x
    x = 17,129,344.86/3,845.67
  6. Step 6: Final answer
    x = 4,454.19

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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.