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Finding the Fourth Proportional to 3,571.26, 5,356.76 and 938.72

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Solution

The fourth proportional to 3,571.26, 5,356.76 and 938.72 is: 1,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.26 : 5,356.76 = 938.72 : x
  2. Step 2: Convert to fraction form
    3,571.26/5,356.76 = 938.72/x
  3. Step 3: Cross multiply
    3,571.26x = 5,356.76 × 938.72
  4. Step 4: Simplify right side
    3,571.26x = 5,028,514.21
  5. Step 5: Solve for x
    x = 5,028,514.21/3,571.26
  6. Step 6: Final answer
    x = 1,408.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.