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Finding the Fourth Proportional to 3,885.71, 5,831.06 and 2,847.56

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Solution

The fourth proportional to 3,885.71, 5,831.06 and 2,847.56 is: 4,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.71 : 5,831.06 = 2,847.56 : x
  2. Step 2: Convert to fraction form
    3,885.71/5,831.06 = 2,847.56/x
  3. Step 3: Cross multiply
    3,885.71x = 5,831.06 × 2,847.56
  4. Step 4: Simplify right side
    3,885.71x = 16,604,249.82
  5. Step 5: Solve for x
    x = 16,604,249.82/3,885.71
  6. Step 6: Final answer
    x = 4,273.16

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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.