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Finding the Fourth Proportional to 3,831.14, 5,744.02 and 1,957.60

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Solution

The fourth proportional to 3,831.14, 5,744.02 and 1,957.60 is: 2,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.14 : 5,744.02 = 1,957.60 : x
  2. Step 2: Convert to fraction form
    3,831.14/5,744.02 = 1,957.60/x
  3. Step 3: Cross multiply
    3,831.14x = 5,744.02 × 1,957.60
  4. Step 4: Simplify right side
    3,831.14x = 11,244,493.55
  5. Step 5: Solve for x
    x = 11,244,493.55/3,831.14
  6. Step 6: Final answer
    x = 2,935.03

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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.