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Finding the Fourth Proportional to 4,059.26, 6,089.64 and 1,286.64

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Solution

The fourth proportional to 4,059.26, 6,089.64 and 1,286.64 is: 1,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.26 : 6,089.64 = 1,286.64 : x
  2. Step 2: Convert to fraction form
    4,059.26/6,089.64 = 1,286.64/x
  3. Step 3: Cross multiply
    4,059.26x = 6,089.64 × 1,286.64
  4. Step 4: Simplify right side
    4,059.26x = 7,835,174.41
  5. Step 5: Solve for x
    x = 7,835,174.41/4,059.26
  6. Step 6: Final answer
    x = 1,930.20

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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.