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Finding the Fourth Proportional to 3,822.50, 5,266.97 and 3,559.53

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Solution

The fourth proportional to 3,822.50, 5,266.97 and 3,559.53 is: 4,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.50 : 5,266.97 = 3,559.53 : x
  2. Step 2: Convert to fraction form
    3,822.50/5,266.97 = 3,559.53/x
  3. Step 3: Cross multiply
    3,822.50x = 5,266.97 × 3,559.53
  4. Step 4: Simplify right side
    3,822.50x = 18,747,919.93
  5. Step 5: Solve for x
    x = 18,747,919.93/3,822.50
  6. Step 6: Final answer
    x = 4,904.62

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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.