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Finding the Fourth Proportional to 5,825, 8,740.74 and 2,747

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Solution

The fourth proportional to 5,825, 8,740.74 and 2,747 is: 4,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 8,740.74 = 2,747 : x
  2. Step 2: Convert to fraction form
    5,825/8,740.74 = 2,747/x
  3. Step 3: Cross multiply
    5,825x = 8,740.74 × 2,747
  4. Step 4: Simplify right side
    5,825x = 24,010,812.78
  5. Step 5: Solve for x
    x = 24,010,812.78/5,825
  6. Step 6: Final answer
    x = 4,122.03

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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.