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Finding the Fourth Proportional to 4,357.88, 6,538.43 and 1,584.77

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Solution

The fourth proportional to 4,357.88, 6,538.43 and 1,584.77 is: 2,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.88 : 6,538.43 = 1,584.77 : x
  2. Step 2: Convert to fraction form
    4,357.88/6,538.43 = 1,584.77/x
  3. Step 3: Cross multiply
    4,357.88x = 6,538.43 × 1,584.77
  4. Step 4: Simplify right side
    4,357.88x = 10,361,874.52
  5. Step 5: Solve for x
    x = 10,361,874.52/4,357.88
  6. Step 6: Final answer
    x = 2,377.74

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