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Finding the Fourth Proportional to 4,136.52, 6,205.74 and 1,829.64

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Solution

The fourth proportional to 4,136.52, 6,205.74 and 1,829.64 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.52 : 6,205.74 = 1,829.64 : x
  2. Step 2: Convert to fraction form
    4,136.52/6,205.74 = 1,829.64/x
  3. Step 3: Cross multiply
    4,136.52x = 6,205.74 × 1,829.64
  4. Step 4: Simplify right side
    4,136.52x = 11,354,270.13
  5. Step 5: Solve for x
    x = 11,354,270.13/4,136.52
  6. Step 6: Final answer
    x = 2,744.88

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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.