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Finding the Fourth Proportional to 3,778.56, 5,669.94 and 1,588.80

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Solution

The fourth proportional to 3,778.56, 5,669.94 and 1,588.80 is: 2,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,669.94 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,669.94 = 1,588.80/x
  3. Step 3: Cross multiply
    3,778.56x = 5,669.94 × 1,588.80
  4. Step 4: Simplify right side
    3,778.56x = 9,008,400.67
  5. Step 5: Solve for x
    x = 9,008,400.67/3,778.56
  6. Step 6: Final answer
    x = 2,384.08

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