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Finding the Fourth Proportional to 4,705.16, 7,055.94 and 1,584.32

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Solution

The fourth proportional to 4,705.16, 7,055.94 and 1,584.32 is: 2,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.16 : 7,055.94 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    4,705.16/7,055.94 = 1,584.32/x
  3. Step 3: Cross multiply
    4,705.16x = 7,055.94 × 1,584.32
  4. Step 4: Simplify right side
    4,705.16x = 11,178,858.94
  5. Step 5: Solve for x
    x = 11,178,858.94/4,705.16
  6. Step 6: Final answer
    x = 2,375.87

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