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Finding the Fourth Proportional to 4,950.98, 6,829.76 and 3,061.96

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Solution

The fourth proportional to 4,950.98, 6,829.76 and 3,061.96 is: 4,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.98 : 6,829.76 = 3,061.96 : x
  2. Step 2: Convert to fraction form
    4,950.98/6,829.76 = 3,061.96/x
  3. Step 3: Cross multiply
    4,950.98x = 6,829.76 × 3,061.96
  4. Step 4: Simplify right side
    4,950.98x = 20,912,451.93
  5. Step 5: Solve for x
    x = 20,912,451.93/4,950.98
  6. Step 6: Final answer
    x = 4,223.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.