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Finding the Fourth Proportional to 3,872.16, 5,804.72 and 1,405.92

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Solution

The fourth proportional to 3,872.16, 5,804.72 and 1,405.92 is: 2,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.16 : 5,804.72 = 1,405.92 : x
  2. Step 2: Convert to fraction form
    3,872.16/5,804.72 = 1,405.92/x
  3. Step 3: Cross multiply
    3,872.16x = 5,804.72 × 1,405.92
  4. Step 4: Simplify right side
    3,872.16x = 8,160,971.94
  5. Step 5: Solve for x
    x = 8,160,971.94/3,872.16
  6. Step 6: Final answer
    x = 2,107.60

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