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Finding the Fourth Proportional to 5,189.22, 7,763.46 and 4,010.26

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Solution

The fourth proportional to 5,189.22, 7,763.46 and 4,010.26 is: 5,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.22 : 7,763.46 = 4,010.26 : x
  2. Step 2: Convert to fraction form
    5,189.22/7,763.46 = 4,010.26/x
  3. Step 3: Cross multiply
    5,189.22x = 7,763.46 × 4,010.26
  4. Step 4: Simplify right side
    5,189.22x = 31,133,493.10
  5. Step 5: Solve for x
    x = 31,133,493.10/5,189.22
  6. Step 6: Final answer
    x = 5,999.65

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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.