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Finding the Fourth Proportional to 5,605.75, 8,405.94 and 3,266.42

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Solution

The fourth proportional to 5,605.75, 8,405.94 and 3,266.42 is: 4,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.75 : 8,405.94 = 3,266.42 : x
  2. Step 2: Convert to fraction form
    5,605.75/8,405.94 = 3,266.42/x
  3. Step 3: Cross multiply
    5,605.75x = 8,405.94 × 3,266.42
  4. Step 4: Simplify right side
    5,605.75x = 27,457,314.20
  5. Step 5: Solve for x
    x = 27,457,314.20/5,605.75
  6. Step 6: Final answer
    x = 4,898.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.