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Finding the Fourth Proportional to 5,194.68, 7,792.26 and 1,299.12

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Solution

The fourth proportional to 5,194.68, 7,792.26 and 1,299.12 is: 1,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.68 : 7,792.26 = 1,299.12 : x
  2. Step 2: Convert to fraction form
    5,194.68/7,792.26 = 1,299.12/x
  3. Step 3: Cross multiply
    5,194.68x = 7,792.26 × 1,299.12
  4. Step 4: Simplify right side
    5,194.68x = 10,123,080.81
  5. Step 5: Solve for x
    x = 10,123,080.81/5,194.68
  6. Step 6: Final answer
    x = 1,948.74

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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.