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Finding the Fourth Proportional to 4,742.07, 6,542.74 and 3,063.54

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Solution

The fourth proportional to 4,742.07, 6,542.74 and 3,063.54 is: 4,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.07 : 6,542.74 = 3,063.54 : x
  2. Step 2: Convert to fraction form
    4,742.07/6,542.74 = 3,063.54/x
  3. Step 3: Cross multiply
    4,742.07x = 6,542.74 × 3,063.54
  4. Step 4: Simplify right side
    4,742.07x = 20,043,945.70
  5. Step 5: Solve for x
    x = 20,043,945.70/4,742.07
  6. Step 6: Final answer
    x = 4,226.83

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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.