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Finding the Fourth Proportional to 5,738.37, 7,908.21 and 4,477.42

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Solution

The fourth proportional to 5,738.37, 7,908.21 and 4,477.42 is: 6,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.37 : 7,908.21 = 4,477.42 : x
  2. Step 2: Convert to fraction form
    5,738.37/7,908.21 = 4,477.42/x
  3. Step 3: Cross multiply
    5,738.37x = 7,908.21 × 4,477.42
  4. Step 4: Simplify right side
    5,738.37x = 35,408,377.62
  5. Step 5: Solve for x
    x = 35,408,377.62/5,738.37
  6. Step 6: Final answer
    x = 6,170.46

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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.