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Finding the Fourth Proportional to 3,802.24, 5,697.89 and 1,607.95

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Solution

The fourth proportional to 3,802.24, 5,697.89 and 1,607.95 is: 2,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.24 : 5,697.89 = 1,607.95 : x
  2. Step 2: Convert to fraction form
    3,802.24/5,697.89 = 1,607.95/x
  3. Step 3: Cross multiply
    3,802.24x = 5,697.89 × 1,607.95
  4. Step 4: Simplify right side
    3,802.24x = 9,161,936.38
  5. Step 5: Solve for x
    x = 9,161,936.38/3,802.24
  6. Step 6: Final answer
    x = 2,409.61

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