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Finding the Fourth Proportional to 5,122.47, 7,678.85 and 1,833.87

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Solution

The fourth proportional to 5,122.47, 7,678.85 and 1,833.87 is: 2,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.47 : 7,678.85 = 1,833.87 : x
  2. Step 2: Convert to fraction form
    5,122.47/7,678.85 = 1,833.87/x
  3. Step 3: Cross multiply
    5,122.47x = 7,678.85 × 1,833.87
  4. Step 4: Simplify right side
    5,122.47x = 14,082,003.48
  5. Step 5: Solve for x
    x = 14,082,003.48/5,122.47
  6. Step 6: Final answer
    x = 2,749.07

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