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Finding the Fourth Proportional to 5,623.71, 7,759.85 and 3,265.44

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Solution

The fourth proportional to 5,623.71, 7,759.85 and 3,265.44 is: 4,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.71 : 7,759.85 = 3,265.44 : x
  2. Step 2: Convert to fraction form
    5,623.71/7,759.85 = 3,265.44/x
  3. Step 3: Cross multiply
    5,623.71x = 7,759.85 × 3,265.44
  4. Step 4: Simplify right side
    5,623.71x = 25,339,308.26
  5. Step 5: Solve for x
    x = 25,339,308.26/5,623.71
  6. Step 6: Final answer
    x = 4,505.80

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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.