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Finding the Fourth Proportional to 5,777, 7,972.22 and 3,124.39

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Solution

The fourth proportional to 5,777, 7,972.22 and 3,124.39 is: 4,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777 : 7,972.22 = 3,124.39 : x
  2. Step 2: Convert to fraction form
    5,777/7,972.22 = 3,124.39/x
  3. Step 3: Cross multiply
    5,777x = 7,972.22 × 3,124.39
  4. Step 4: Simplify right side
    5,777x = 24,908,324.45
  5. Step 5: Solve for x
    x = 24,908,324.45/5,777
  6. Step 6: Final answer
    x = 4,311.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.