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Finding the Fourth Proportional to 5,323.80, 7,991.40 and 4,711.44

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Solution

The fourth proportional to 5,323.80, 7,991.40 and 4,711.44 is: 7,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.80 : 7,991.40 = 4,711.44 : x
  2. Step 2: Convert to fraction form
    5,323.80/7,991.40 = 4,711.44/x
  3. Step 3: Cross multiply
    5,323.80x = 7,991.40 × 4,711.44
  4. Step 4: Simplify right side
    5,323.80x = 37,651,001.62
  5. Step 5: Solve for x
    x = 37,651,001.62/5,323.80
  6. Step 6: Final answer
    x = 7,072.20

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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.