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Finding the Fourth Proportional to 4,949.40, 6,824.52 and 3,954

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Solution

The fourth proportional to 4,949.40, 6,824.52 and 3,954 is: 5,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.40 : 6,824.52 = 3,954 : x
  2. Step 2: Convert to fraction form
    4,949.40/6,824.52 = 3,954/x
  3. Step 3: Cross multiply
    4,949.40x = 6,824.52 × 3,954
  4. Step 4: Simplify right side
    4,949.40x = 26,984,152.08
  5. Step 5: Solve for x
    x = 26,984,152.08/4,949.40
  6. Step 6: Final answer
    x = 5,452.00

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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.