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Finding the Fourth Proportional to 3,475.80, 5,200.54 and 2,136.83

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Solution

The fourth proportional to 3,475.80, 5,200.54 and 2,136.83 is: 3,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.80 : 5,200.54 = 2,136.83 : x
  2. Step 2: Convert to fraction form
    3,475.80/5,200.54 = 2,136.83/x
  3. Step 3: Cross multiply
    3,475.80x = 5,200.54 × 2,136.83
  4. Step 4: Simplify right side
    3,475.80x = 11,112,638.54
  5. Step 5: Solve for x
    x = 11,112,638.54/3,475.80
  6. Step 6: Final answer
    x = 3,197.15

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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.