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Finding the Fourth Proportional to 5,824, 8,740.86 and 2,746

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Solution

The fourth proportional to 5,824, 8,740.86 and 2,746 is: 4,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 8,740.86 = 2,746 : x
  2. Step 2: Convert to fraction form
    5,824/8,740.86 = 2,746/x
  3. Step 3: Cross multiply
    5,824x = 8,740.86 × 2,746
  4. Step 4: Simplify right side
    5,824x = 24,002,401.56
  5. Step 5: Solve for x
    x = 24,002,401.56/5,824
  6. Step 6: Final answer
    x = 4,121.29

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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.