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Finding the Fourth Proportional to 3,775.35, 5,665.23 and 1,583.91

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Solution

The fourth proportional to 3,775.35, 5,665.23 and 1,583.91 is: 2,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.35 : 5,665.23 = 1,583.91 : x
  2. Step 2: Convert to fraction form
    3,775.35/5,665.23 = 1,583.91/x
  3. Step 3: Cross multiply
    3,775.35x = 5,665.23 × 1,583.91
  4. Step 4: Simplify right side
    3,775.35x = 8,973,214.45
  5. Step 5: Solve for x
    x = 8,973,214.45/3,775.35
  6. Step 6: Final answer
    x = 2,376.79

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