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Finding the Fourth Proportional to 3,886.32, 5,831.84 and 1,577.76

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Solution

The fourth proportional to 3,886.32, 5,831.84 and 1,577.76 is: 2,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.32 : 5,831.84 = 1,577.76 : x
  2. Step 2: Convert to fraction form
    3,886.32/5,831.84 = 1,577.76/x
  3. Step 3: Cross multiply
    3,886.32x = 5,831.84 × 1,577.76
  4. Step 4: Simplify right side
    3,886.32x = 9,201,243.88
  5. Step 5: Solve for x
    x = 9,201,243.88/3,886.32
  6. Step 6: Final answer
    x = 2,367.60

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