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Finding the Fourth Proportional to 4,059.54, 6,084.32 and 3,234.42

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Solution

The fourth proportional to 4,059.54, 6,084.32 and 3,234.42 is: 4,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.54 : 6,084.32 = 3,234.42 : x
  2. Step 2: Convert to fraction form
    4,059.54/6,084.32 = 3,234.42/x
  3. Step 3: Cross multiply
    4,059.54x = 6,084.32 × 3,234.42
  4. Step 4: Simplify right side
    4,059.54x = 19,679,230.12
  5. Step 5: Solve for x
    x = 19,679,230.12/4,059.54
  6. Step 6: Final answer
    x = 4,847.65

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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.