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Finding the Fourth Proportional to 5,190.64, 7,785.42 and 2,071.96

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Solution

The fourth proportional to 5,190.64, 7,785.42 and 2,071.96 is: 3,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.64 : 7,785.42 = 2,071.96 : x
  2. Step 2: Convert to fraction form
    5,190.64/7,785.42 = 2,071.96/x
  3. Step 3: Cross multiply
    5,190.64x = 7,785.42 × 2,071.96
  4. Step 4: Simplify right side
    5,190.64x = 16,131,078.82
  5. Step 5: Solve for x
    x = 16,131,078.82/5,190.64
  6. Step 6: Final answer
    x = 3,107.72

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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.