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Finding the Fourth Proportional to 4,700.20, 7,049.22 and 1,413.22

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Solution

The fourth proportional to 4,700.20, 7,049.22 and 1,413.22 is: 2,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.20 : 7,049.22 = 1,413.22 : x
  2. Step 2: Convert to fraction form
    4,700.20/7,049.22 = 1,413.22/x
  3. Step 3: Cross multiply
    4,700.20x = 7,049.22 × 1,413.22
  4. Step 4: Simplify right side
    4,700.20x = 9,962,098.69
  5. Step 5: Solve for x
    x = 9,962,098.69/4,700.20
  6. Step 6: Final answer
    x = 2,119.51

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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.