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Finding the Fourth Proportional to 3,798, 5,695.63 and 1,606.91

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Solution

The fourth proportional to 3,798, 5,695.63 and 1,606.91 is: 2,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 5,695.63 = 1,606.91 : x
  2. Step 2: Convert to fraction form
    3,798/5,695.63 = 1,606.91/x
  3. Step 3: Cross multiply
    3,798x = 5,695.63 × 1,606.91
  4. Step 4: Simplify right side
    3,798x = 9,152,332.31
  5. Step 5: Solve for x
    x = 9,152,332.31/3,798
  6. Step 6: Final answer
    x = 2,409.78

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