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Finding the Fourth Proportional to 3,776.32, 5,664.63 and 1,584.77

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Solution

The fourth proportional to 3,776.32, 5,664.63 and 1,584.77 is: 2,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.32 : 5,664.63 = 1,584.77 : x
  2. Step 2: Convert to fraction form
    3,776.32/5,664.63 = 1,584.77/x
  3. Step 3: Cross multiply
    3,776.32x = 5,664.63 × 1,584.77
  4. Step 4: Simplify right side
    3,776.32x = 8,977,113.30
  5. Step 5: Solve for x
    x = 8,977,113.30/3,776.32
  6. Step 6: Final answer
    x = 2,377.21

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