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Finding the Fourth Proportional to 3,742.04, 5,614.40 and 1,604.00

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Solution

The fourth proportional to 3,742.04, 5,614.40 and 1,604.00 is: 2,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.04 : 5,614.40 = 1,604.00 : x
  2. Step 2: Convert to fraction form
    3,742.04/5,614.40 = 1,604.00/x
  3. Step 3: Cross multiply
    3,742.04x = 5,614.40 × 1,604.00
  4. Step 4: Simplify right side
    3,742.04x = 9,005,513.39
  5. Step 5: Solve for x
    x = 9,005,513.39/3,742.04
  6. Step 6: Final answer
    x = 2,406.58

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