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Finding the Fourth Proportional to 4,646.88, 6,413.52 and 2,784.16

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Solution

The fourth proportional to 4,646.88, 6,413.52 and 2,784.16 is: 3,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.88 : 6,413.52 = 2,784.16 : x
  2. Step 2: Convert to fraction form
    4,646.88/6,413.52 = 2,784.16/x
  3. Step 3: Cross multiply
    4,646.88x = 6,413.52 × 2,784.16
  4. Step 4: Simplify right side
    4,646.88x = 17,856,265.84
  5. Step 5: Solve for x
    x = 17,856,265.84/4,646.88
  6. Step 6: Final answer
    x = 3,842.64

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