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Finding the Fourth Proportional to 3,885.44, 5,831.04 and 1,834.88

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Solution

The fourth proportional to 3,885.44, 5,831.04 and 1,834.88 is: 2,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.44 : 5,831.04 = 1,834.88 : x
  2. Step 2: Convert to fraction form
    3,885.44/5,831.04 = 1,834.88/x
  3. Step 3: Cross multiply
    3,885.44x = 5,831.04 × 1,834.88
  4. Step 4: Simplify right side
    3,885.44x = 10,699,258.68
  5. Step 5: Solve for x
    x = 10,699,258.68/3,885.44
  6. Step 6: Final answer
    x = 2,753.68

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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.