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Finding the Fourth Proportional to 3,082.42, 4,627.92 and 1,582.49

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Solution

The fourth proportional to 3,082.42, 4,627.92 and 1,582.49 is: 2,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.42 : 4,627.92 = 1,582.49 : x
  2. Step 2: Convert to fraction form
    3,082.42/4,627.92 = 1,582.49/x
  3. Step 3: Cross multiply
    3,082.42x = 4,627.92 × 1,582.49
  4. Step 4: Simplify right side
    3,082.42x = 7,323,613.98
  5. Step 5: Solve for x
    x = 7,323,613.98/3,082.42
  6. Step 6: Final answer
    x = 2,375.93

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