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Finding the Fourth Proportional to 5,766.70, 7,958.10 and 3,409.06

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Solution

The fourth proportional to 5,766.70, 7,958.10 and 3,409.06 is: 4,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.70 : 7,958.10 = 3,409.06 : x
  2. Step 2: Convert to fraction form
    5,766.70/7,958.10 = 3,409.06/x
  3. Step 3: Cross multiply
    5,766.70x = 7,958.10 × 3,409.06
  4. Step 4: Simplify right side
    5,766.70x = 27,129,640.39
  5. Step 5: Solve for x
    x = 27,129,640.39/5,766.70
  6. Step 6: Final answer
    x = 4,704.53

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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.