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Finding the Fourth Proportional to 5,945.25, 8,204.71 and 3,256.66

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Solution

The fourth proportional to 5,945.25, 8,204.71 and 3,256.66 is: 4,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.25 : 8,204.71 = 3,256.66 : x
  2. Step 2: Convert to fraction form
    5,945.25/8,204.71 = 3,256.66/x
  3. Step 3: Cross multiply
    5,945.25x = 8,204.71 × 3,256.66
  4. Step 4: Simplify right side
    5,945.25x = 26,719,909.85
  5. Step 5: Solve for x
    x = 26,719,909.85/5,945.25
  6. Step 6: Final answer
    x = 4,494.33

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