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Finding the Fourth Proportional to 3,301.94, 4,553.24 and 2,831.42

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Solution

The fourth proportional to 3,301.94, 4,553.24 and 2,831.42 is: 3,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.94 : 4,553.24 = 2,831.42 : x
  2. Step 2: Convert to fraction form
    3,301.94/4,553.24 = 2,831.42/x
  3. Step 3: Cross multiply
    3,301.94x = 4,553.24 × 2,831.42
  4. Step 4: Simplify right side
    3,301.94x = 12,892,134.80
  5. Step 5: Solve for x
    x = 12,892,134.80/3,301.94
  6. Step 6: Final answer
    x = 3,904.41

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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.