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Finding the Fourth Proportional to 3,784.80, 5,675.76 and 1,592.94

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Solution

The fourth proportional to 3,784.80, 5,675.76 and 1,592.94 is: 2,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.80 : 5,675.76 = 1,592.94 : x
  2. Step 2: Convert to fraction form
    3,784.80/5,675.76 = 1,592.94/x
  3. Step 3: Cross multiply
    3,784.80x = 5,675.76 × 1,592.94
  4. Step 4: Simplify right side
    3,784.80x = 9,041,145.13
  5. Step 5: Solve for x
    x = 9,041,145.13/3,784.80
  6. Step 6: Final answer
    x = 2,388.80

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