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Finding the Fourth Proportional to 5,190.32, 7,785.41 and 1,294.76

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Solution

The fourth proportional to 5,190.32, 7,785.41 and 1,294.76 is: 1,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.32 : 7,785.41 = 1,294.76 : x
  2. Step 2: Convert to fraction form
    5,190.32/7,785.41 = 1,294.76/x
  3. Step 3: Cross multiply
    5,190.32x = 7,785.41 × 1,294.76
  4. Step 4: Simplify right side
    5,190.32x = 10,080,192.05
  5. Step 5: Solve for x
    x = 10,080,192.05/5,190.32
  6. Step 6: Final answer
    x = 1,942.12

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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.