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Finding the Fourth Proportional to 4,734.64, 7,103.08 and 2,137.56

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Solution

The fourth proportional to 4,734.64, 7,103.08 and 2,137.56 is: 3,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.64 : 7,103.08 = 2,137.56 : x
  2. Step 2: Convert to fraction form
    4,734.64/7,103.08 = 2,137.56/x
  3. Step 3: Cross multiply
    4,734.64x = 7,103.08 × 2,137.56
  4. Step 4: Simplify right side
    4,734.64x = 15,183,259.68
  5. Step 5: Solve for x
    x = 15,183,259.68/4,734.64
  6. Step 6: Final answer
    x = 3,206.85

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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.