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Finding the Fourth Proportional to 3,697.80, 5,546.96 and 1,164.67

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Solution

The fourth proportional to 3,697.80, 5,546.96 and 1,164.67 is: 1,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.80 : 5,546.96 = 1,164.67 : x
  2. Step 2: Convert to fraction form
    3,697.80/5,546.96 = 1,164.67/x
  3. Step 3: Cross multiply
    3,697.80x = 5,546.96 × 1,164.67
  4. Step 4: Simplify right side
    3,697.80x = 6,460,377.90
  5. Step 5: Solve for x
    x = 6,460,377.90/3,697.80
  6. Step 6: Final answer
    x = 1,747.09

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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.