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Finding the Fourth Proportional to 4,200.18, 6,294.11 and 3,738.88

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Solution

The fourth proportional to 4,200.18, 6,294.11 and 3,738.88 is: 5,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.18 : 6,294.11 = 3,738.88 : x
  2. Step 2: Convert to fraction form
    4,200.18/6,294.11 = 3,738.88/x
  3. Step 3: Cross multiply
    4,200.18x = 6,294.11 × 3,738.88
  4. Step 4: Simplify right side
    4,200.18x = 23,532,912.65
  5. Step 5: Solve for x
    x = 23,532,912.65/4,200.18
  6. Step 6: Final answer
    x = 5,602.84

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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.