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Finding the Fourth Proportional to 5,831.54, 8,747.44 and 1,883.14

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Solution

The fourth proportional to 5,831.54, 8,747.44 and 1,883.14 is: 2,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.54 : 8,747.44 = 1,883.14 : x
  2. Step 2: Convert to fraction form
    5,831.54/8,747.44 = 1,883.14/x
  3. Step 3: Cross multiply
    5,831.54x = 8,747.44 × 1,883.14
  4. Step 4: Simplify right side
    5,831.54x = 16,472,654.16
  5. Step 5: Solve for x
    x = 16,472,654.16/5,831.54
  6. Step 6: Final answer
    x = 2,824.75

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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.