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Finding the Fourth Proportional to 5,969.46, 8,241.64 and 3,845.78

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Solution

The fourth proportional to 5,969.46, 8,241.64 and 3,845.78 is: 5,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.46 : 8,241.64 = 3,845.78 : x
  2. Step 2: Convert to fraction form
    5,969.46/8,241.64 = 3,845.78/x
  3. Step 3: Cross multiply
    5,969.46x = 8,241.64 × 3,845.78
  4. Step 4: Simplify right side
    5,969.46x = 31,695,534.28
  5. Step 5: Solve for x
    x = 31,695,534.28/5,969.46
  6. Step 6: Final answer
    x = 5,309.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.