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Finding the Fourth Proportional to 3,382.44, 5,075.69 and 1,534.56

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Solution

The fourth proportional to 3,382.44, 5,075.69 and 1,534.56 is: 2,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.44 : 5,075.69 = 1,534.56 : x
  2. Step 2: Convert to fraction form
    3,382.44/5,075.69 = 1,534.56/x
  3. Step 3: Cross multiply
    3,382.44x = 5,075.69 × 1,534.56
  4. Step 4: Simplify right side
    3,382.44x = 7,788,943.17
  5. Step 5: Solve for x
    x = 7,788,943.17/3,382.44
  6. Step 6: Final answer
    x = 2,302.76

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