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Finding the Fourth Proportional to 6,052.90, 8,353.71 and 3,400.30

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Solution

The fourth proportional to 6,052.90, 8,353.71 and 3,400.30 is: 4,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.90 : 8,353.71 = 3,400.30 : x
  2. Step 2: Convert to fraction form
    6,052.90/8,353.71 = 3,400.30/x
  3. Step 3: Cross multiply
    6,052.90x = 8,353.71 × 3,400.30
  4. Step 4: Simplify right side
    6,052.90x = 28,405,099.23
  5. Step 5: Solve for x
    x = 28,405,099.23/6,052.90
  6. Step 6: Final answer
    x = 4,692.81

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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.