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Finding the Fourth Proportional to 5,056.92, 7,585.80 and 1,546.83

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Solution

The fourth proportional to 5,056.92, 7,585.80 and 1,546.83 is: 2,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.92 : 7,585.80 = 1,546.83 : x
  2. Step 2: Convert to fraction form
    5,056.92/7,585.80 = 1,546.83/x
  3. Step 3: Cross multiply
    5,056.92x = 7,585.80 × 1,546.83
  4. Step 4: Simplify right side
    5,056.92x = 11,733,943.01
  5. Step 5: Solve for x
    x = 11,733,943.01/5,056.92
  6. Step 6: Final answer
    x = 2,320.37

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