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Finding the Fourth Proportional to 4,075.47, 6,112.80 and 1,609.65

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Solution

The fourth proportional to 4,075.47, 6,112.80 and 1,609.65 is: 2,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.47 : 6,112.80 = 1,609.65 : x
  2. Step 2: Convert to fraction form
    4,075.47/6,112.80 = 1,609.65/x
  3. Step 3: Cross multiply
    4,075.47x = 6,112.80 × 1,609.65
  4. Step 4: Simplify right side
    4,075.47x = 9,839,468.52
  5. Step 5: Solve for x
    x = 9,839,468.52/4,075.47
  6. Step 6: Final answer
    x = 2,414.32

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