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Finding the Fourth Proportional to 5,884.50, 8,120.62 and 3,400.50

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Solution

The fourth proportional to 5,884.50, 8,120.62 and 3,400.50 is: 4,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.50 : 8,120.62 = 3,400.50 : x
  2. Step 2: Convert to fraction form
    5,884.50/8,120.62 = 3,400.50/x
  3. Step 3: Cross multiply
    5,884.50x = 8,120.62 × 3,400.50
  4. Step 4: Simplify right side
    5,884.50x = 27,614,168.31
  5. Step 5: Solve for x
    x = 27,614,168.31/5,884.50
  6. Step 6: Final answer
    x = 4,692.70

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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.