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Finding the Fourth Proportional to 4,678.51, 7,016.37 and 3,854.74

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Solution

The fourth proportional to 4,678.51, 7,016.37 and 3,854.74 is: 5,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.51 : 7,016.37 = 3,854.74 : x
  2. Step 2: Convert to fraction form
    4,678.51/7,016.37 = 3,854.74/x
  3. Step 3: Cross multiply
    4,678.51x = 7,016.37 × 3,854.74
  4. Step 4: Simplify right side
    4,678.51x = 27,046,282.09
  5. Step 5: Solve for x
    x = 27,046,282.09/4,678.51
  6. Step 6: Final answer
    x = 5,780.96

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