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Finding the Fourth Proportional to 5,905.32, 8,855.89 and 1,744.22

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Solution

The fourth proportional to 5,905.32, 8,855.89 and 1,744.22 is: 2,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.32 : 8,855.89 = 1,744.22 : x
  2. Step 2: Convert to fraction form
    5,905.32/8,855.89 = 1,744.22/x
  3. Step 3: Cross multiply
    5,905.32x = 8,855.89 × 1,744.22
  4. Step 4: Simplify right side
    5,905.32x = 15,446,620.46
  5. Step 5: Solve for x
    x = 15,446,620.46/5,905.32
  6. Step 6: Final answer
    x = 2,615.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.