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Finding the Fourth Proportional to 4,977, 7,466.46 and 2,241

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Solution

The fourth proportional to 4,977, 7,466.46 and 2,241 is: 3,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 7,466.46 = 2,241 : x
  2. Step 2: Convert to fraction form
    4,977/7,466.46 = 2,241/x
  3. Step 3: Cross multiply
    4,977x = 7,466.46 × 2,241
  4. Step 4: Simplify right side
    4,977x = 16,732,336.86
  5. Step 5: Solve for x
    x = 16,732,336.86/4,977
  6. Step 6: Final answer
    x = 3,361.93

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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.