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Finding the Fourth Proportional to 5,765.70, 8,643 and 3,679.83

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Solution

The fourth proportional to 5,765.70, 8,643 and 3,679.83 is: 5,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.70 : 8,643 = 3,679.83 : x
  2. Step 2: Convert to fraction form
    5,765.70/8,643 = 3,679.83/x
  3. Step 3: Cross multiply
    5,765.70x = 8,643 × 3,679.83
  4. Step 4: Simplify right side
    5,765.70x = 31,804,770.69
  5. Step 5: Solve for x
    x = 31,804,770.69/5,765.70
  6. Step 6: Final answer
    x = 5,516.20

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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.