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Finding the Fourth Proportional to 3,777.40, 5,664.28 and 1,585.54

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Solution

The fourth proportional to 3,777.40, 5,664.28 and 1,585.54 is: 2,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.40 : 5,664.28 = 1,585.54 : x
  2. Step 2: Convert to fraction form
    3,777.40/5,664.28 = 1,585.54/x
  3. Step 3: Cross multiply
    3,777.40x = 5,664.28 × 1,585.54
  4. Step 4: Simplify right side
    3,777.40x = 8,980,942.51
  5. Step 5: Solve for x
    x = 8,980,942.51/3,777.40
  6. Step 6: Final answer
    x = 2,377.55

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