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Finding the Fourth Proportional to 4,698.94, 6,469.78 and 3,989.31

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Solution

The fourth proportional to 4,698.94, 6,469.78 and 3,989.31 is: 5,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.94 : 6,469.78 = 3,989.31 : x
  2. Step 2: Convert to fraction form
    4,698.94/6,469.78 = 3,989.31/x
  3. Step 3: Cross multiply
    4,698.94x = 6,469.78 × 3,989.31
  4. Step 4: Simplify right side
    4,698.94x = 25,809,958.05
  5. Step 5: Solve for x
    x = 25,809,958.05/4,698.94
  6. Step 6: Final answer
    x = 5,492.72

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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.