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Finding the Fourth Proportional to 4,136.27, 6,205.01 and 1,539

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Solution

The fourth proportional to 4,136.27, 6,205.01 and 1,539 is: 2,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.27 : 6,205.01 = 1,539 : x
  2. Step 2: Convert to fraction form
    4,136.27/6,205.01 = 1,539/x
  3. Step 3: Cross multiply
    4,136.27x = 6,205.01 × 1,539
  4. Step 4: Simplify right side
    4,136.27x = 9,549,502.70
  5. Step 5: Solve for x
    x = 9,549,502.70/4,136.27
  6. Step 6: Final answer
    x = 2,308.73

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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.