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Finding the Fourth Proportional to 5,789.34, 8,679.14 and 2,329.02

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Solution

The fourth proportional to 5,789.34, 8,679.14 and 2,329.02 is: 3,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.34 : 8,679.14 = 2,329.02 : x
  2. Step 2: Convert to fraction form
    5,789.34/8,679.14 = 2,329.02/x
  3. Step 3: Cross multiply
    5,789.34x = 8,679.14 × 2,329.02
  4. Step 4: Simplify right side
    5,789.34x = 20,213,890.64
  5. Step 5: Solve for x
    x = 20,213,890.64/5,789.34
  6. Step 6: Final answer
    x = 3,491.57

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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.