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Finding the Fourth Proportional to 3,742.40, 5,603.64 and 3,096.08

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Solution

The fourth proportional to 3,742.40, 5,603.64 and 3,096.08 is: 4,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.40 : 5,603.64 = 3,096.08 : x
  2. Step 2: Convert to fraction form
    3,742.40/5,603.64 = 3,096.08/x
  3. Step 3: Cross multiply
    3,742.40x = 5,603.64 × 3,096.08
  4. Step 4: Simplify right side
    3,742.40x = 17,349,317.73
  5. Step 5: Solve for x
    x = 17,349,317.73/3,742.40
  6. Step 6: Final answer
    x = 4,635.88

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