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Finding the Fourth Proportional to 4,576.32, 6,857.64 and 1,977.84

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Solution

The fourth proportional to 4,576.32, 6,857.64 and 1,977.84 is: 2,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.32 : 6,857.64 = 1,977.84 : x
  2. Step 2: Convert to fraction form
    4,576.32/6,857.64 = 1,977.84/x
  3. Step 3: Cross multiply
    4,576.32x = 6,857.64 × 1,977.84
  4. Step 4: Simplify right side
    4,576.32x = 13,563,314.70
  5. Step 5: Solve for x
    x = 13,563,314.70/4,576.32
  6. Step 6: Final answer
    x = 2,963.80

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