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Finding the Fourth Proportional to 5,236.47, 7,229.32 and 3,470.47

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Solution

The fourth proportional to 5,236.47, 7,229.32 and 3,470.47 is: 4,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.47 : 7,229.32 = 3,470.47 : x
  2. Step 2: Convert to fraction form
    5,236.47/7,229.32 = 3,470.47/x
  3. Step 3: Cross multiply
    5,236.47x = 7,229.32 × 3,470.47
  4. Step 4: Simplify right side
    5,236.47x = 25,089,111.43
  5. Step 5: Solve for x
    x = 25,089,111.43/5,236.47
  6. Step 6: Final answer
    x = 4,791.23

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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.