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Finding the Fourth Proportional to 3,849.12, 5,772.72 and 1,509.60

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Solution

The fourth proportional to 3,849.12, 5,772.72 and 1,509.60 is: 2,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.12 : 5,772.72 = 1,509.60 : x
  2. Step 2: Convert to fraction form
    3,849.12/5,772.72 = 1,509.60/x
  3. Step 3: Cross multiply
    3,849.12x = 5,772.72 × 1,509.60
  4. Step 4: Simplify right side
    3,849.12x = 8,714,498.11
  5. Step 5: Solve for x
    x = 8,714,498.11/3,849.12
  6. Step 6: Final answer
    x = 2,264.02

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