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Finding the Fourth Proportional to 4,059.44, 6,089.44 and 1,426.64

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Solution

The fourth proportional to 4,059.44, 6,089.44 and 1,426.64 is: 2,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.44 : 6,089.44 = 1,426.64 : x
  2. Step 2: Convert to fraction form
    4,059.44/6,089.44 = 1,426.64/x
  3. Step 3: Cross multiply
    4,059.44x = 6,089.44 × 1,426.64
  4. Step 4: Simplify right side
    4,059.44x = 8,687,438.68
  5. Step 5: Solve for x
    x = 8,687,438.68/4,059.44
  6. Step 6: Final answer
    x = 2,140.06

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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.