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Finding the Fourth Proportional to 5,930.02, 8,892.57 and 2,230.33

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Solution

The fourth proportional to 5,930.02, 8,892.57 and 2,230.33 is: 3,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.02 : 8,892.57 = 2,230.33 : x
  2. Step 2: Convert to fraction form
    5,930.02/8,892.57 = 2,230.33/x
  3. Step 3: Cross multiply
    5,930.02x = 8,892.57 × 2,230.33
  4. Step 4: Simplify right side
    5,930.02x = 19,833,365.65
  5. Step 5: Solve for x
    x = 19,833,365.65/5,930.02
  6. Step 6: Final answer
    x = 3,344.57

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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.