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Finding the Fourth Proportional to 5,936.72, 8,193.64 and 5,674.24

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Solution

The fourth proportional to 5,936.72, 8,193.64 and 5,674.24 is: 7,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.72 : 8,193.64 = 5,674.24 : x
  2. Step 2: Convert to fraction form
    5,936.72/8,193.64 = 5,674.24/x
  3. Step 3: Cross multiply
    5,936.72x = 8,193.64 × 5,674.24
  4. Step 4: Simplify right side
    5,936.72x = 46,492,679.83
  5. Step 5: Solve for x
    x = 46,492,679.83/5,936.72
  6. Step 6: Final answer
    x = 7,831.37

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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.