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Finding the Fourth Proportional to 4,806.72, 7,208.64 and 2,208

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Solution

The fourth proportional to 4,806.72, 7,208.64 and 2,208 is: 3,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.72 : 7,208.64 = 2,208 : x
  2. Step 2: Convert to fraction form
    4,806.72/7,208.64 = 2,208/x
  3. Step 3: Cross multiply
    4,806.72x = 7,208.64 × 2,208
  4. Step 4: Simplify right side
    4,806.72x = 15,916,677.12
  5. Step 5: Solve for x
    x = 15,916,677.12/4,806.72
  6. Step 6: Final answer
    x = 3,311.34

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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.