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Finding the Fourth Proportional to 3,207, 4,805.04 and 2,277.96

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Solution

The fourth proportional to 3,207, 4,805.04 and 2,277.96 is: 3,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 4,805.04 = 2,277.96 : x
  2. Step 2: Convert to fraction form
    3,207/4,805.04 = 2,277.96/x
  3. Step 3: Cross multiply
    3,207x = 4,805.04 × 2,277.96
  4. Step 4: Simplify right side
    3,207x = 10,945,688.92
  5. Step 5: Solve for x
    x = 10,945,688.92/3,207
  6. Step 6: Final answer
    x = 3,413.06

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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.