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Finding the Fourth Proportional to 4,136.70, 6,205.05 and 3,909.90

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Solution

The fourth proportional to 4,136.70, 6,205.05 and 3,909.90 is: 5,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.70 : 6,205.05 = 3,909.90 : x
  2. Step 2: Convert to fraction form
    4,136.70/6,205.05 = 3,909.90/x
  3. Step 3: Cross multiply
    4,136.70x = 6,205.05 × 3,909.90
  4. Step 4: Simplify right side
    4,136.70x = 24,261,125.00
  5. Step 5: Solve for x
    x = 24,261,125.00/4,136.70
  6. Step 6: Final answer
    x = 5,864.85

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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.