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Finding the Fourth Proportional to 3,848.64, 5,761.44 and 2,477.76

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Solution

The fourth proportional to 3,848.64, 5,761.44 and 2,477.76 is: 3,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,761.44 = 2,477.76 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,761.44 = 2,477.76/x
  3. Step 3: Cross multiply
    3,848.64x = 5,761.44 × 2,477.76
  4. Step 4: Simplify right side
    3,848.64x = 14,275,465.57
  5. Step 5: Solve for x
    x = 14,275,465.57/3,848.64
  6. Step 6: Final answer
    x = 3,709.22

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