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Finding the Fourth Proportional to 4,227.45, 6,311.04 and 3,604.65

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Solution

The fourth proportional to 4,227.45, 6,311.04 and 3,604.65 is: 5,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.45 : 6,311.04 = 3,604.65 : x
  2. Step 2: Convert to fraction form
    4,227.45/6,311.04 = 3,604.65/x
  3. Step 3: Cross multiply
    4,227.45x = 6,311.04 × 3,604.65
  4. Step 4: Simplify right side
    4,227.45x = 22,749,090.34
  5. Step 5: Solve for x
    x = 22,749,090.34/4,227.45
  6. Step 6: Final answer
    x = 5,381.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.