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Finding the Fourth Proportional to 5,114.73, 7,672.17 and 1,604.65

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Solution

The fourth proportional to 5,114.73, 7,672.17 and 1,604.65 is: 2,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.73 : 7,672.17 = 1,604.65 : x
  2. Step 2: Convert to fraction form
    5,114.73/7,672.17 = 1,604.65/x
  3. Step 3: Cross multiply
    5,114.73x = 7,672.17 × 1,604.65
  4. Step 4: Simplify right side
    5,114.73x = 12,311,109.23
  5. Step 5: Solve for x
    x = 12,311,109.23/5,114.73
  6. Step 6: Final answer
    x = 2,406.99

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Why These Related Problems?

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