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Finding the Fourth Proportional to 5,195.98, 7,793.98 and 1,300.38

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Solution

The fourth proportional to 5,195.98, 7,793.98 and 1,300.38 is: 1,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.98 : 7,793.98 = 1,300.38 : x
  2. Step 2: Convert to fraction form
    5,195.98/7,793.98 = 1,300.38/x
  3. Step 3: Cross multiply
    5,195.98x = 7,793.98 × 1,300.38
  4. Step 4: Simplify right side
    5,195.98x = 10,135,135.71
  5. Step 5: Solve for x
    x = 10,135,135.71/5,195.98
  6. Step 6: Final answer
    x = 1,950.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.