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Finding the Fourth Proportional to 2,837.64, 4,256.46 and 2,772.84

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Solution

The fourth proportional to 2,837.64, 4,256.46 and 2,772.84 is: 4,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.64 : 4,256.46 = 2,772.84 : x
  2. Step 2: Convert to fraction form
    2,837.64/4,256.46 = 2,772.84/x
  3. Step 3: Cross multiply
    2,837.64x = 4,256.46 × 2,772.84
  4. Step 4: Simplify right side
    2,837.64x = 11,802,482.55
  5. Step 5: Solve for x
    x = 11,802,482.55/2,837.64
  6. Step 6: Final answer
    x = 4,159.26

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