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Finding the Fourth Proportional to 5,223.40, 7,204.26 and 3,566.44

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Solution

The fourth proportional to 5,223.40, 7,204.26 and 3,566.44 is: 4,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.40 : 7,204.26 = 3,566.44 : x
  2. Step 2: Convert to fraction form
    5,223.40/7,204.26 = 3,566.44/x
  3. Step 3: Cross multiply
    5,223.40x = 7,204.26 × 3,566.44
  4. Step 4: Simplify right side
    5,223.40x = 25,693,561.03
  5. Step 5: Solve for x
    x = 25,693,561.03/5,223.40
  6. Step 6: Final answer
    x = 4,918.93

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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.