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Finding the Fourth Proportional to 3,538.76, 5,305.64 and 1,458.14

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Solution

The fourth proportional to 3,538.76, 5,305.64 and 1,458.14 is: 2,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.76 : 5,305.64 = 1,458.14 : x
  2. Step 2: Convert to fraction form
    3,538.76/5,305.64 = 1,458.14/x
  3. Step 3: Cross multiply
    3,538.76x = 5,305.64 × 1,458.14
  4. Step 4: Simplify right side
    3,538.76x = 7,736,332.09
  5. Step 5: Solve for x
    x = 7,736,332.09/3,538.76
  6. Step 6: Final answer
    x = 2,186.17

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