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Finding the Fourth Proportional to 3,883.83, 5,823.32 and 1,802.54

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Solution

The fourth proportional to 3,883.83, 5,823.32 and 1,802.54 is: 2,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.83 : 5,823.32 = 1,802.54 : x
  2. Step 2: Convert to fraction form
    3,883.83/5,823.32 = 1,802.54/x
  3. Step 3: Cross multiply
    3,883.83x = 5,823.32 × 1,802.54
  4. Step 4: Simplify right side
    3,883.83x = 10,496,729.10
  5. Step 5: Solve for x
    x = 10,496,729.10/3,883.83
  6. Step 6: Final answer
    x = 2,702.67

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