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Finding the Fourth Proportional to 4,136.19, 6,200.13 and 2,052.99

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Solution

The fourth proportional to 4,136.19, 6,200.13 and 2,052.99 is: 3,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.19 : 6,200.13 = 2,052.99 : x
  2. Step 2: Convert to fraction form
    4,136.19/6,200.13 = 2,052.99/x
  3. Step 3: Cross multiply
    4,136.19x = 6,200.13 × 2,052.99
  4. Step 4: Simplify right side
    4,136.19x = 12,728,804.89
  5. Step 5: Solve for x
    x = 12,728,804.89/4,136.19
  6. Step 6: Final answer
    x = 3,077.42

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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.