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Finding the Fourth Proportional to 4,133.74, 5,703.14 and 3,819.38

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Solution

The fourth proportional to 4,133.74, 5,703.14 and 3,819.38 is: 5,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.74 : 5,703.14 = 3,819.38 : x
  2. Step 2: Convert to fraction form
    4,133.74/5,703.14 = 3,819.38/x
  3. Step 3: Cross multiply
    4,133.74x = 5,703.14 × 3,819.38
  4. Step 4: Simplify right side
    4,133.74x = 21,782,458.85
  5. Step 5: Solve for x
    x = 21,782,458.85/4,133.74
  6. Step 6: Final answer
    x = 5,269.43

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1.5x scale

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.