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Finding the Fourth Proportional to 5,195.05, 7,792.57 and 1,299.45

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Solution

The fourth proportional to 5,195.05, 7,792.57 and 1,299.45 is: 1,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.05 : 7,792.57 = 1,299.45 : x
  2. Step 2: Convert to fraction form
    5,195.05/7,792.57 = 1,299.45/x
  3. Step 3: Cross multiply
    5,195.05x = 7,792.57 × 1,299.45
  4. Step 4: Simplify right side
    5,195.05x = 10,126,085.93
  5. Step 5: Solve for x
    x = 10,126,085.93/5,195.05
  6. Step 6: Final answer
    x = 1,949.18

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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.