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Finding the Fourth Proportional to 3,734.54, 5,601.08 and 1,425.50

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Solution

The fourth proportional to 3,734.54, 5,601.08 and 1,425.50 is: 2,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.54 : 5,601.08 = 1,425.50 : x
  2. Step 2: Convert to fraction form
    3,734.54/5,601.08 = 1,425.50/x
  3. Step 3: Cross multiply
    3,734.54x = 5,601.08 × 1,425.50
  4. Step 4: Simplify right side
    3,734.54x = 7,984,315.10
  5. Step 5: Solve for x
    x = 7,984,315.10/3,734.54
  6. Step 6: Final answer
    x = 2,137.97

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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.