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Finding the Fourth Proportional to 3,642.64, 5,465.18 and 1,450.78

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Solution

The fourth proportional to 3,642.64, 5,465.18 and 1,450.78 is: 2,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.64 : 5,465.18 = 1,450.78 : x
  2. Step 2: Convert to fraction form
    3,642.64/5,465.18 = 1,450.78/x
  3. Step 3: Cross multiply
    3,642.64x = 5,465.18 × 1,450.78
  4. Step 4: Simplify right side
    3,642.64x = 7,928,773.84
  5. Step 5: Solve for x
    x = 7,928,773.84/3,642.64
  6. Step 6: Final answer
    x = 2,176.66

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