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Finding the Fourth Proportional to 5,114.75, 7,684.88 and 3,266.73

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Solution

The fourth proportional to 5,114.75, 7,684.88 and 3,266.73 is: 4,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.75 : 7,684.88 = 3,266.73 : x
  2. Step 2: Convert to fraction form
    5,114.75/7,684.88 = 3,266.73/x
  3. Step 3: Cross multiply
    5,114.75x = 7,684.88 × 3,266.73
  4. Step 4: Simplify right side
    5,114.75x = 25,104,411.71
  5. Step 5: Solve for x
    x = 25,104,411.71/5,114.75
  6. Step 6: Final answer
    x = 4,908.24

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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.