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Finding the Fourth Proportional to 4,648.80, 6,971.78 and 1,686.88

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Solution

The fourth proportional to 4,648.80, 6,971.78 and 1,686.88 is: 2,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.80 : 6,971.78 = 1,686.88 : x
  2. Step 2: Convert to fraction form
    4,648.80/6,971.78 = 1,686.88/x
  3. Step 3: Cross multiply
    4,648.80x = 6,971.78 × 1,686.88
  4. Step 4: Simplify right side
    4,648.80x = 11,760,556.25
  5. Step 5: Solve for x
    x = 11,760,556.25/4,648.80
  6. Step 6: Final answer
    x = 2,529.80

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