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Finding the Fourth Proportional to 5,968.46, 8,229.12 and 4,902.50

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Solution

The fourth proportional to 5,968.46, 8,229.12 and 4,902.50 is: 6,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.46 : 8,229.12 = 4,902.50 : x
  2. Step 2: Convert to fraction form
    5,968.46/8,229.12 = 4,902.50/x
  3. Step 3: Cross multiply
    5,968.46x = 8,229.12 × 4,902.50
  4. Step 4: Simplify right side
    5,968.46x = 40,343,260.80
  5. Step 5: Solve for x
    x = 40,343,260.80/5,968.46
  6. Step 6: Final answer
    x = 6,759.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.