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Finding the Fourth Proportional to 3,006.43, 4,509.65 and 1,849.75

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Solution

The fourth proportional to 3,006.43, 4,509.65 and 1,849.75 is: 2,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.43 : 4,509.65 = 1,849.75 : x
  2. Step 2: Convert to fraction form
    3,006.43/4,509.65 = 1,849.75/x
  3. Step 3: Cross multiply
    3,006.43x = 4,509.65 × 1,849.75
  4. Step 4: Simplify right side
    3,006.43x = 8,341,725.09
  5. Step 5: Solve for x
    x = 8,341,725.09/3,006.43
  6. Step 6: Final answer
    x = 2,774.63

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