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Finding the Fourth Proportional to 5,577.84, 8,364.65 and 1,828.74

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Solution

The fourth proportional to 5,577.84, 8,364.65 and 1,828.74 is: 2,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.84 : 8,364.65 = 1,828.74 : x
  2. Step 2: Convert to fraction form
    5,577.84/8,364.65 = 1,828.74/x
  3. Step 3: Cross multiply
    5,577.84x = 8,364.65 × 1,828.74
  4. Step 4: Simplify right side
    5,577.84x = 15,296,760.90
  5. Step 5: Solve for x
    x = 15,296,760.90/5,577.84
  6. Step 6: Final answer
    x = 2,742.42

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