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Finding the Fourth Proportional to 4,882.97, 7,323.77 and 1,596.09

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Solution

The fourth proportional to 4,882.97, 7,323.77 and 1,596.09 is: 2,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.97 : 7,323.77 = 1,596.09 : x
  2. Step 2: Convert to fraction form
    4,882.97/7,323.77 = 1,596.09/x
  3. Step 3: Cross multiply
    4,882.97x = 7,323.77 × 1,596.09
  4. Step 4: Simplify right side
    4,882.97x = 11,689,396.06
  5. Step 5: Solve for x
    x = 11,689,396.06/4,882.97
  6. Step 6: Final answer
    x = 2,393.91

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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.