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Finding the Fourth Proportional to 6,023.75, 9,034.22 and 2,902.19

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Solution

The fourth proportional to 6,023.75, 9,034.22 and 2,902.19 is: 4,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.75 : 9,034.22 = 2,902.19 : x
  2. Step 2: Convert to fraction form
    6,023.75/9,034.22 = 2,902.19/x
  3. Step 3: Cross multiply
    6,023.75x = 9,034.22 × 2,902.19
  4. Step 4: Simplify right side
    6,023.75x = 26,218,985.03
  5. Step 5: Solve for x
    x = 26,218,985.03/6,023.75
  6. Step 6: Final answer
    x = 4,352.61

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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.