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Finding the Fourth Proportional to 5,114.80, 7,674.59 and 2,648.27

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Solution

The fourth proportional to 5,114.80, 7,674.59 and 2,648.27 is: 3,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.80 : 7,674.59 = 2,648.27 : x
  2. Step 2: Convert to fraction form
    5,114.80/7,674.59 = 2,648.27/x
  3. Step 3: Cross multiply
    5,114.80x = 7,674.59 × 2,648.27
  4. Step 4: Simplify right side
    5,114.80x = 20,324,372.06
  5. Step 5: Solve for x
    x = 20,324,372.06/5,114.80
  6. Step 6: Final answer
    x = 3,973.64

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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.