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Finding the Fourth Proportional to 3,206.74, 4,788.70 and 3,042.71

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Solution

The fourth proportional to 3,206.74, 4,788.70 and 3,042.71 is: 4,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.74 : 4,788.70 = 3,042.71 : x
  2. Step 2: Convert to fraction form
    3,206.74/4,788.70 = 3,042.71/x
  3. Step 3: Cross multiply
    3,206.74x = 4,788.70 × 3,042.71
  4. Step 4: Simplify right side
    3,206.74x = 14,570,625.38
  5. Step 5: Solve for x
    x = 14,570,625.38/3,206.74
  6. Step 6: Final answer
    x = 4,543.75

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