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Finding the Fourth Proportional to 3,802.84, 5,705.52 and 2,566.96

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Solution

The fourth proportional to 3,802.84, 5,705.52 and 2,566.96 is: 3,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.84 : 5,705.52 = 2,566.96 : x
  2. Step 2: Convert to fraction form
    3,802.84/5,705.52 = 2,566.96/x
  3. Step 3: Cross multiply
    3,802.84x = 5,705.52 × 2,566.96
  4. Step 4: Simplify right side
    3,802.84x = 14,645,841.62
  5. Step 5: Solve for x
    x = 14,645,841.62/3,802.84
  6. Step 6: Final answer
    x = 3,851.29

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