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Finding the Fourth Proportional to 3,931.47, 5,896.53 and 1,465.63

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Solution

The fourth proportional to 3,931.47, 5,896.53 and 1,465.63 is: 2,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.47 : 5,896.53 = 1,465.63 : x
  2. Step 2: Convert to fraction form
    3,931.47/5,896.53 = 1,465.63/x
  3. Step 3: Cross multiply
    3,931.47x = 5,896.53 × 1,465.63
  4. Step 4: Simplify right side
    3,931.47x = 8,642,116.52
  5. Step 5: Solve for x
    x = 8,642,116.52/3,931.47
  6. Step 6: Final answer
    x = 2,198.19

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