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Finding the Fourth Proportional to 5,223.69, 7,201.71 and 4,474.44

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Solution

The fourth proportional to 5,223.69, 7,201.71 and 4,474.44 is: 6,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.69 : 7,201.71 = 4,474.44 : x
  2. Step 2: Convert to fraction form
    5,223.69/7,201.71 = 4,474.44/x
  3. Step 3: Cross multiply
    5,223.69x = 7,201.71 × 4,474.44
  4. Step 4: Simplify right side
    5,223.69x = 32,223,619.29
  5. Step 5: Solve for x
    x = 32,223,619.29/5,223.69
  6. Step 6: Final answer
    x = 6,168.75

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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.