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Finding the Fourth Proportional to 5,788.54, 8,682.82 and 1,406.00

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Solution

The fourth proportional to 5,788.54, 8,682.82 and 1,406.00 is: 2,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.54 : 8,682.82 = 1,406.00 : x
  2. Step 2: Convert to fraction form
    5,788.54/8,682.82 = 1,406.00/x
  3. Step 3: Cross multiply
    5,788.54x = 8,682.82 × 1,406.00
  4. Step 4: Simplify right side
    5,788.54x = 12,208,063.11
  5. Step 5: Solve for x
    x = 12,208,063.11/5,788.54
  6. Step 6: Final answer
    x = 2,109.01

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