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Finding the Fourth Proportional to 4,672.21, 6,997.94 and 3,623.93

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Solution

The fourth proportional to 4,672.21, 6,997.94 and 3,623.93 is: 5,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.21 : 6,997.94 = 3,623.93 : x
  2. Step 2: Convert to fraction form
    4,672.21/6,997.94 = 3,623.93/x
  3. Step 3: Cross multiply
    4,672.21x = 6,997.94 × 3,623.93
  4. Step 4: Simplify right side
    4,672.21x = 25,360,041.97
  5. Step 5: Solve for x
    x = 25,360,041.97/4,672.21
  6. Step 6: Final answer
    x = 5,427.85

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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.