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Finding the Fourth Proportional to 5,224.48, 7,831.44 and 1,936.96

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Solution

The fourth proportional to 5,224.48, 7,831.44 and 1,936.96 is: 2,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.48 : 7,831.44 = 1,936.96 : x
  2. Step 2: Convert to fraction form
    5,224.48/7,831.44 = 1,936.96/x
  3. Step 3: Cross multiply
    5,224.48x = 7,831.44 × 1,936.96
  4. Step 4: Simplify right side
    5,224.48x = 15,169,186.02
  5. Step 5: Solve for x
    x = 15,169,186.02/5,224.48
  6. Step 6: Final answer
    x = 2,903.48

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Why These Related Problems?

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