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Finding the Fourth Proportional to 4,136.26, 5,709.14 and 2,565.67

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Solution

The fourth proportional to 4,136.26, 5,709.14 and 2,565.67 is: 3,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.26 : 5,709.14 = 2,565.67 : x
  2. Step 2: Convert to fraction form
    4,136.26/5,709.14 = 2,565.67/x
  3. Step 3: Cross multiply
    4,136.26x = 5,709.14 × 2,565.67
  4. Step 4: Simplify right side
    4,136.26x = 14,647,769.22
  5. Step 5: Solve for x
    x = 14,647,769.22/4,136.26
  6. Step 6: Final answer
    x = 3,541.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.