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Finding the Fourth Proportional to 5,989.50, 8,265.60 and 3,471.80

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Solution

The fourth proportional to 5,989.50, 8,265.60 and 3,471.80 is: 4,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.50 : 8,265.60 = 3,471.80 : x
  2. Step 2: Convert to fraction form
    5,989.50/8,265.60 = 3,471.80/x
  3. Step 3: Cross multiply
    5,989.50x = 8,265.60 × 3,471.80
  4. Step 4: Simplify right side
    5,989.50x = 28,696,451.39
  5. Step 5: Solve for x
    x = 28,696,451.39/5,989.50
  6. Step 6: Final answer
    x = 4,791.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.