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Finding the Fourth Proportional to 5,085.74, 7,614.20 and 3,232.26

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Solution

The fourth proportional to 5,085.74, 7,614.20 and 3,232.26 is: 4,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.74 : 7,614.20 = 3,232.26 : x
  2. Step 2: Convert to fraction form
    5,085.74/7,614.20 = 3,232.26/x
  3. Step 3: Cross multiply
    5,085.74x = 7,614.20 × 3,232.26
  4. Step 4: Simplify right side
    5,085.74x = 24,611,074.09
  5. Step 5: Solve for x
    x = 24,611,074.09/5,085.74
  6. Step 6: Final answer
    x = 4,839.23

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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.