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Finding the Fourth Proportional to 5,323.71, 7,991.25 and 3,478.53

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Solution

The fourth proportional to 5,323.71, 7,991.25 and 3,478.53 is: 5,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.71 : 7,991.25 = 3,478.53 : x
  2. Step 2: Convert to fraction form
    5,323.71/7,991.25 = 3,478.53/x
  3. Step 3: Cross multiply
    5,323.71x = 7,991.25 × 3,478.53
  4. Step 4: Simplify right side
    5,323.71x = 27,797,802.86
  5. Step 5: Solve for x
    x = 27,797,802.86/5,323.71
  6. Step 6: Final answer
    x = 5,221.51

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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.