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Finding the Fourth Proportional to 5,107.26, 7,659.99 and 1,408.89

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Solution

The fourth proportional to 5,107.26, 7,659.99 and 1,408.89 is: 2,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.26 : 7,659.99 = 1,408.89 : x
  2. Step 2: Convert to fraction form
    5,107.26/7,659.99 = 1,408.89/x
  3. Step 3: Cross multiply
    5,107.26x = 7,659.99 × 1,408.89
  4. Step 4: Simplify right side
    5,107.26x = 10,792,083.31
  5. Step 5: Solve for x
    x = 10,792,083.31/5,107.26
  6. Step 6: Final answer
    x = 2,113.09

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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.