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Finding the Fourth Proportional to 3,788.58, 5,682.93 and 1,156.14

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Solution

The fourth proportional to 3,788.58, 5,682.93 and 1,156.14 is: 1,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.58 : 5,682.93 = 1,156.14 : x
  2. Step 2: Convert to fraction form
    3,788.58/5,682.93 = 1,156.14/x
  3. Step 3: Cross multiply
    3,788.58x = 5,682.93 × 1,156.14
  4. Step 4: Simplify right side
    3,788.58x = 6,570,262.69
  5. Step 5: Solve for x
    x = 6,570,262.69/3,788.58
  6. Step 6: Final answer
    x = 1,734.23

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