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Finding the Fourth Proportional to 6,204, 8,561.52 and 3,409.50

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Solution

The fourth proportional to 6,204, 8,561.52 and 3,409.50 is: 4,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204 : 8,561.52 = 3,409.50 : x
  2. Step 2: Convert to fraction form
    6,204/8,561.52 = 3,409.50/x
  3. Step 3: Cross multiply
    6,204x = 8,561.52 × 3,409.50
  4. Step 4: Simplify right side
    6,204x = 29,190,502.44
  5. Step 5: Solve for x
    x = 29,190,502.44/6,204
  6. Step 6: Final answer
    x = 4,705.11

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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.