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Finding the Fourth Proportional to 5,239, 7,228.20 and 3,471.58

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Solution

The fourth proportional to 5,239, 7,228.20 and 3,471.58 is: 4,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 7,228.20 = 3,471.58 : x
  2. Step 2: Convert to fraction form
    5,239/7,228.20 = 3,471.58/x
  3. Step 3: Cross multiply
    5,239x = 7,228.20 × 3,471.58
  4. Step 4: Simplify right side
    5,239x = 25,093,274.56
  5. Step 5: Solve for x
    x = 25,093,274.56/5,239
  6. Step 6: Final answer
    x = 4,789.71

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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.