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Finding the Fourth Proportional to 4,136.69, 6,201.27 and 1,503.06

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Solution

The fourth proportional to 4,136.69, 6,201.27 and 1,503.06 is: 2,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.69 : 6,201.27 = 1,503.06 : x
  2. Step 2: Convert to fraction form
    4,136.69/6,201.27 = 1,503.06/x
  3. Step 3: Cross multiply
    4,136.69x = 6,201.27 × 1,503.06
  4. Step 4: Simplify right side
    4,136.69x = 9,320,880.89
  5. Step 5: Solve for x
    x = 9,320,880.89/4,136.69
  6. Step 6: Final answer
    x = 2,253.22

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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.