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Finding the Fourth Proportional to 5,961.60, 8,224.36 and 4,194.36

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Solution

The fourth proportional to 5,961.60, 8,224.36 and 4,194.36 is: 5,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.60 : 8,224.36 = 4,194.36 : x
  2. Step 2: Convert to fraction form
    5,961.60/8,224.36 = 4,194.36/x
  3. Step 3: Cross multiply
    5,961.60x = 8,224.36 × 4,194.36
  4. Step 4: Simplify right side
    5,961.60x = 34,495,926.61
  5. Step 5: Solve for x
    x = 34,495,926.61/5,961.60
  6. Step 6: Final answer
    x = 5,786.35

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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.