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Finding the Fourth Proportional to 4,806.20, 7,174.54 and 4,223

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Solution

The fourth proportional to 4,806.20, 7,174.54 and 4,223 is: 6,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.20 : 7,174.54 = 4,223 : x
  2. Step 2: Convert to fraction form
    4,806.20/7,174.54 = 4,223/x
  3. Step 3: Cross multiply
    4,806.20x = 7,174.54 × 4,223
  4. Step 4: Simplify right side
    4,806.20x = 30,298,082.42
  5. Step 5: Solve for x
    x = 30,298,082.42/4,806.20
  6. Step 6: Final answer
    x = 6,303.96

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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.