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Finding the Fourth Proportional to 5,218.97, 7,828.45 and 1,323.27

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Solution

The fourth proportional to 5,218.97, 7,828.45 and 1,323.27 is: 1,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.97 : 7,828.45 = 1,323.27 : x
  2. Step 2: Convert to fraction form
    5,218.97/7,828.45 = 1,323.27/x
  3. Step 3: Cross multiply
    5,218.97x = 7,828.45 × 1,323.27
  4. Step 4: Simplify right side
    5,218.97x = 10,359,149.72
  5. Step 5: Solve for x
    x = 10,359,149.72/5,218.97
  6. Step 6: Final answer
    x = 1,984.91

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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.