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Finding the Fourth Proportional to 5,961.16, 8,225.26 and 3,409.73

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Solution

The fourth proportional to 5,961.16, 8,225.26 and 3,409.73 is: 4,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.16 : 8,225.26 = 3,409.73 : x
  2. Step 2: Convert to fraction form
    5,961.16/8,225.26 = 3,409.73/x
  3. Step 3: Cross multiply
    5,961.16x = 8,225.26 × 3,409.73
  4. Step 4: Simplify right side
    5,961.16x = 28,045,866.13
  5. Step 5: Solve for x
    x = 28,045,866.13/5,961.16
  6. Step 6: Final answer
    x = 4,704.77

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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.