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Finding the Fourth Proportional to 4,969.89, 7,439.58 and 3,114.54

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Solution

The fourth proportional to 4,969.89, 7,439.58 and 3,114.54 is: 4,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.89 : 7,439.58 = 3,114.54 : x
  2. Step 2: Convert to fraction form
    4,969.89/7,439.58 = 3,114.54/x
  3. Step 3: Cross multiply
    4,969.89x = 7,439.58 × 3,114.54
  4. Step 4: Simplify right side
    4,969.89x = 23,170,869.49
  5. Step 5: Solve for x
    x = 23,170,869.49/4,969.89
  6. Step 6: Final answer
    x = 4,662.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.