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Finding the Fourth Proportional to 3,805.35, 5,708.22 and 3,597.57

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Solution

The fourth proportional to 3,805.35, 5,708.22 and 3,597.57 is: 5,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.35 : 5,708.22 = 3,597.57 : x
  2. Step 2: Convert to fraction form
    3,805.35/5,708.22 = 3,597.57/x
  3. Step 3: Cross multiply
    3,805.35x = 5,708.22 × 3,597.57
  4. Step 4: Simplify right side
    3,805.35x = 20,535,721.03
  5. Step 5: Solve for x
    x = 20,535,721.03/3,805.35
  6. Step 6: Final answer
    x = 5,396.54

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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.