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Finding the Fourth Proportional to 3,922.87, 5,880.59 and 1,456.02

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Solution

The fourth proportional to 3,922.87, 5,880.59 and 1,456.02 is: 2,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.87 : 5,880.59 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    3,922.87/5,880.59 = 1,456.02/x
  3. Step 3: Cross multiply
    3,922.87x = 5,880.59 × 1,456.02
  4. Step 4: Simplify right side
    3,922.87x = 8,562,256.65
  5. Step 5: Solve for x
    x = 8,562,256.65/3,922.87
  6. Step 6: Final answer
    x = 2,182.65

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