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Finding the Fourth Proportional to 5,135.25, 7,706.07 and 3,287.69

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Solution

The fourth proportional to 5,135.25, 7,706.07 and 3,287.69 is: 4,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.25 : 7,706.07 = 3,287.69 : x
  2. Step 2: Convert to fraction form
    5,135.25/7,706.07 = 3,287.69/x
  3. Step 3: Cross multiply
    5,135.25x = 7,706.07 × 3,287.69
  4. Step 4: Simplify right side
    5,135.25x = 25,335,165.91
  5. Step 5: Solve for x
    x = 25,335,165.91/5,135.25
  6. Step 6: Final answer
    x = 4,933.58

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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.