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Finding the Fourth Proportional to 5,092.46, 7,638.93 and 1,584.86

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Solution

The fourth proportional to 5,092.46, 7,638.93 and 1,584.86 is: 2,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.46 : 7,638.93 = 1,584.86 : x
  2. Step 2: Convert to fraction form
    5,092.46/7,638.93 = 1,584.86/x
  3. Step 3: Cross multiply
    5,092.46x = 7,638.93 × 1,584.86
  4. Step 4: Simplify right side
    5,092.46x = 12,106,596.41
  5. Step 5: Solve for x
    x = 12,106,596.41/5,092.46
  6. Step 6: Final answer
    x = 2,377.36

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