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Finding the Fourth Proportional to 3,804.02, 5,702.10 and 1,463.40

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Solution

The fourth proportional to 3,804.02, 5,702.10 and 1,463.40 is: 2,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.02 : 5,702.10 = 1,463.40 : x
  2. Step 2: Convert to fraction form
    3,804.02/5,702.10 = 1,463.40/x
  3. Step 3: Cross multiply
    3,804.02x = 5,702.10 × 1,463.40
  4. Step 4: Simplify right side
    3,804.02x = 8,344,453.14
  5. Step 5: Solve for x
    x = 8,344,453.14/3,804.02
  6. Step 6: Final answer
    x = 2,193.59

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