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Finding the Fourth Proportional to 3,831.90, 5,286.51 and 2,338.98

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Solution

The fourth proportional to 3,831.90, 5,286.51 and 2,338.98 is: 3,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.90 : 5,286.51 = 2,338.98 : x
  2. Step 2: Convert to fraction form
    3,831.90/5,286.51 = 2,338.98/x
  3. Step 3: Cross multiply
    3,831.90x = 5,286.51 × 2,338.98
  4. Step 4: Simplify right side
    3,831.90x = 12,365,041.16
  5. Step 5: Solve for x
    x = 12,365,041.16/3,831.90
  6. Step 6: Final answer
    x = 3,226.87

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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.