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Finding the Fourth Proportional to 3,673, 5,073.06 and 2,428.84

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Solution

The fourth proportional to 3,673, 5,073.06 and 2,428.84 is: 3,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673 : 5,073.06 = 2,428.84 : x
  2. Step 2: Convert to fraction form
    3,673/5,073.06 = 2,428.84/x
  3. Step 3: Cross multiply
    3,673x = 5,073.06 × 2,428.84
  4. Step 4: Simplify right side
    3,673x = 12,321,651.05
  5. Step 5: Solve for x
    x = 12,321,651.05/3,673
  6. Step 6: Final answer
    x = 3,354.66

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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.