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Finding the Fourth Proportional to 4,346.33, 6,519.46 and 1,059.42

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Solution

The fourth proportional to 4,346.33, 6,519.46 and 1,059.42 is: 1,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.33 : 6,519.46 = 1,059.42 : x
  2. Step 2: Convert to fraction form
    4,346.33/6,519.46 = 1,059.42/x
  3. Step 3: Cross multiply
    4,346.33x = 6,519.46 × 1,059.42
  4. Step 4: Simplify right side
    4,346.33x = 6,906,846.31
  5. Step 5: Solve for x
    x = 6,906,846.31/4,346.33
  6. Step 6: Final answer
    x = 1,589.12

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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.