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Finding the Fourth Proportional to 3,805.26, 5,706.18 and 1,725.18

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Solution

The fourth proportional to 3,805.26, 5,706.18 and 1,725.18 is: 2,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.26 : 5,706.18 = 1,725.18 : x
  2. Step 2: Convert to fraction form
    3,805.26/5,706.18 = 1,725.18/x
  3. Step 3: Cross multiply
    3,805.26x = 5,706.18 × 1,725.18
  4. Step 4: Simplify right side
    3,805.26x = 9,844,187.61
  5. Step 5: Solve for x
    x = 9,844,187.61/3,805.26
  6. Step 6: Final answer
    x = 2,586.99

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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.