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Finding the Fourth Proportional to 3,227.53, 4,453.91 and 1,830.25

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Solution

The fourth proportional to 3,227.53, 4,453.91 and 1,830.25 is: 2,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.53 : 4,453.91 = 1,830.25 : x
  2. Step 2: Convert to fraction form
    3,227.53/4,453.91 = 1,830.25/x
  3. Step 3: Cross multiply
    3,227.53x = 4,453.91 × 1,830.25
  4. Step 4: Simplify right side
    3,227.53x = 8,151,759.63
  5. Step 5: Solve for x
    x = 8,151,759.63/3,227.53
  6. Step 6: Final answer
    x = 2,525.70

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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.