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Finding the Fourth Proportional to 5,219.99, 7,829.88 and 1,271.27

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Solution

The fourth proportional to 5,219.99, 7,829.88 and 1,271.27 is: 1,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.99 : 7,829.88 = 1,271.27 : x
  2. Step 2: Convert to fraction form
    5,219.99/7,829.88 = 1,271.27/x
  3. Step 3: Cross multiply
    5,219.99x = 7,829.88 × 1,271.27
  4. Step 4: Simplify right side
    5,219.99x = 9,953,891.55
  5. Step 5: Solve for x
    x = 9,953,891.55/5,219.99
  6. Step 6: Final answer
    x = 1,906.88

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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.