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Finding the Fourth Proportional to 5,046.54, 7,568.70 and 1,582.98

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Solution

The fourth proportional to 5,046.54, 7,568.70 and 1,582.98 is: 2,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.54 : 7,568.70 = 1,582.98 : x
  2. Step 2: Convert to fraction form
    5,046.54/7,568.70 = 1,582.98/x
  3. Step 3: Cross multiply
    5,046.54x = 7,568.70 × 1,582.98
  4. Step 4: Simplify right side
    5,046.54x = 11,981,100.73
  5. Step 5: Solve for x
    x = 11,981,100.73/5,046.54
  6. Step 6: Final answer
    x = 2,374.12

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