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Finding the Fourth Proportional to 3,463, 4,778.94 and 2,221

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Solution

The fourth proportional to 3,463, 4,778.94 and 2,221 is: 3,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463 : 4,778.94 = 2,221 : x
  2. Step 2: Convert to fraction form
    3,463/4,778.94 = 2,221/x
  3. Step 3: Cross multiply
    3,463x = 4,778.94 × 2,221
  4. Step 4: Simplify right side
    3,463x = 10,614,025.74
  5. Step 5: Solve for x
    x = 10,614,025.74/3,463
  6. Step 6: Final answer
    x = 3,064.98

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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.