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Finding the Fourth Proportional to 5,199.27, 7,182.83 and 3,410.99

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Solution

The fourth proportional to 5,199.27, 7,182.83 and 3,410.99 is: 4,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.27 : 7,182.83 = 3,410.99 : x
  2. Step 2: Convert to fraction form
    5,199.27/7,182.83 = 3,410.99/x
  3. Step 3: Cross multiply
    5,199.27x = 7,182.83 × 3,410.99
  4. Step 4: Simplify right side
    5,199.27x = 24,500,561.30
  5. Step 5: Solve for x
    x = 24,500,561.30/5,199.27
  6. Step 6: Final answer
    x = 4,712.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.