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Finding the Fourth Proportional to 4,670.08, 6,987.84 and 3,840.64

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Solution

The fourth proportional to 4,670.08, 6,987.84 and 3,840.64 is: 5,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.08 : 6,987.84 = 3,840.64 : x
  2. Step 2: Convert to fraction form
    4,670.08/6,987.84 = 3,840.64/x
  3. Step 3: Cross multiply
    4,670.08x = 6,987.84 × 3,840.64
  4. Step 4: Simplify right side
    4,670.08x = 26,837,777.82
  5. Step 5: Solve for x
    x = 26,837,777.82/4,670.08
  6. Step 6: Final answer
    x = 5,746.75

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