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Finding the Fourth Proportional to 5,223.26, 7,208.25 and 2,865.62

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Solution

The fourth proportional to 5,223.26, 7,208.25 and 2,865.62 is: 3,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.26 : 7,208.25 = 2,865.62 : x
  2. Step 2: Convert to fraction form
    5,223.26/7,208.25 = 2,865.62/x
  3. Step 3: Cross multiply
    5,223.26x = 7,208.25 × 2,865.62
  4. Step 4: Simplify right side
    5,223.26x = 20,656,069.32
  5. Step 5: Solve for x
    x = 20,656,069.32/5,223.26
  6. Step 6: Final answer
    x = 3,954.64

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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.