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Finding the Fourth Proportional to 5,755.37, 7,942.35 and 3,271.37

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Solution

The fourth proportional to 5,755.37, 7,942.35 and 3,271.37 is: 4,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.37 : 7,942.35 = 3,271.37 : x
  2. Step 2: Convert to fraction form
    5,755.37/7,942.35 = 3,271.37/x
  3. Step 3: Cross multiply
    5,755.37x = 7,942.35 × 3,271.37
  4. Step 4: Simplify right side
    5,755.37x = 25,982,325.81
  5. Step 5: Solve for x
    x = 25,982,325.81/5,755.37
  6. Step 6: Final answer
    x = 4,514.45

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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.