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Finding the Fourth Proportional to 4,646.37, 6,964.69 and 1,525.58

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Solution

The fourth proportional to 4,646.37, 6,964.69 and 1,525.58 is: 2,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.37 : 6,964.69 = 1,525.58 : x
  2. Step 2: Convert to fraction form
    4,646.37/6,964.69 = 1,525.58/x
  3. Step 3: Cross multiply
    4,646.37x = 6,964.69 × 1,525.58
  4. Step 4: Simplify right side
    4,646.37x = 10,625,191.77
  5. Step 5: Solve for x
    x = 10,625,191.77/4,646.37
  6. Step 6: Final answer
    x = 2,286.77

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