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Finding the Fourth Proportional to 3,920.27, 5,880.81 and 1,323.41

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Solution

The fourth proportional to 3,920.27, 5,880.81 and 1,323.41 is: 1,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.27 : 5,880.81 = 1,323.41 : x
  2. Step 2: Convert to fraction form
    3,920.27/5,880.81 = 1,323.41/x
  3. Step 3: Cross multiply
    3,920.27x = 5,880.81 × 1,323.41
  4. Step 4: Simplify right side
    3,920.27x = 7,782,722.76
  5. Step 5: Solve for x
    x = 7,782,722.76/3,920.27
  6. Step 6: Final answer
    x = 1,985.25

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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.