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Finding the Fourth Proportional to 3,795.60, 5,695.68 and 1,604.22

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Solution

The fourth proportional to 3,795.60, 5,695.68 and 1,604.22 is: 2,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.60 : 5,695.68 = 1,604.22 : x
  2. Step 2: Convert to fraction form
    3,795.60/5,695.68 = 1,604.22/x
  3. Step 3: Cross multiply
    3,795.60x = 5,695.68 × 1,604.22
  4. Step 4: Simplify right side
    3,795.60x = 9,137,123.77
  5. Step 5: Solve for x
    x = 9,137,123.77/3,795.60
  6. Step 6: Final answer
    x = 2,407.29

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