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Finding the Fourth Proportional to 3,849.60, 5,774.40 and 1,384.80

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Solution

The fourth proportional to 3,849.60, 5,774.40 and 1,384.80 is: 2,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.60 : 5,774.40 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    3,849.60/5,774.40 = 1,384.80/x
  3. Step 3: Cross multiply
    3,849.60x = 5,774.40 × 1,384.80
  4. Step 4: Simplify right side
    3,849.60x = 7,996,389.12
  5. Step 5: Solve for x
    x = 7,996,389.12/3,849.60
  6. Step 6: Final answer
    x = 2,077.20

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