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Finding the Fourth Proportional to 5,686.13, 7,840.16 and 3,894.48

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Solution

The fourth proportional to 5,686.13, 7,840.16 and 3,894.48 is: 5,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.13 : 7,840.16 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    5,686.13/7,840.16 = 3,894.48/x
  3. Step 3: Cross multiply
    5,686.13x = 7,840.16 × 3,894.48
  4. Step 4: Simplify right side
    5,686.13x = 30,533,341.45
  5. Step 5: Solve for x
    x = 30,533,341.45/5,686.13
  6. Step 6: Final answer
    x = 5,369.79

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