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Finding the Fourth Proportional to 4,771.94, 6,584.46 and 3,005.90

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Solution

The fourth proportional to 4,771.94, 6,584.46 and 3,005.90 is: 4,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.94 : 6,584.46 = 3,005.90 : x
  2. Step 2: Convert to fraction form
    4,771.94/6,584.46 = 3,005.90/x
  3. Step 3: Cross multiply
    4,771.94x = 6,584.46 × 3,005.90
  4. Step 4: Simplify right side
    4,771.94x = 19,792,228.31
  5. Step 5: Solve for x
    x = 19,792,228.31/4,771.94
  6. Step 6: Final answer
    x = 4,147.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.