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Finding the Fourth Proportional to 5,219.96, 7,829.83 and 1,271.24

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Solution

The fourth proportional to 5,219.96, 7,829.83 and 1,271.24 is: 1,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.96 : 7,829.83 = 1,271.24 : x
  2. Step 2: Convert to fraction form
    5,219.96/7,829.83 = 1,271.24/x
  3. Step 3: Cross multiply
    5,219.96x = 7,829.83 × 1,271.24
  4. Step 4: Simplify right side
    5,219.96x = 9,953,628.93
  5. Step 5: Solve for x
    x = 9,953,628.93/5,219.96
  6. Step 6: Final answer
    x = 1,906.84

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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.