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Finding the Fourth Proportional to 5,190.39, 7,785.68 and 1,294.81

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Solution

The fourth proportional to 5,190.39, 7,785.68 and 1,294.81 is: 1,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.39 : 7,785.68 = 1,294.81 : x
  2. Step 2: Convert to fraction form
    5,190.39/7,785.68 = 1,294.81/x
  3. Step 3: Cross multiply
    5,190.39x = 7,785.68 × 1,294.81
  4. Step 4: Simplify right side
    5,190.39x = 10,080,950.38
  5. Step 5: Solve for x
    x = 10,080,950.38/5,190.39
  6. Step 6: Final answer
    x = 1,942.23

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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.