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Finding the Fourth Proportional to 3,745, 5,589.02 and 3,329.83

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Solution

The fourth proportional to 3,745, 5,589.02 and 3,329.83 is: 4,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745 : 5,589.02 = 3,329.83 : x
  2. Step 2: Convert to fraction form
    3,745/5,589.02 = 3,329.83/x
  3. Step 3: Cross multiply
    3,745x = 5,589.02 × 3,329.83
  4. Step 4: Simplify right side
    3,745x = 18,610,466.85
  5. Step 5: Solve for x
    x = 18,610,466.85/3,745
  6. Step 6: Final answer
    x = 4,969.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.