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Finding the Fourth Proportional to 3,498.99, 4,827.20 and 2,082.73

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Solution

The fourth proportional to 3,498.99, 4,827.20 and 2,082.73 is: 2,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.99 : 4,827.20 = 2,082.73 : x
  2. Step 2: Convert to fraction form
    3,498.99/4,827.20 = 2,082.73/x
  3. Step 3: Cross multiply
    3,498.99x = 4,827.20 × 2,082.73
  4. Step 4: Simplify right side
    3,498.99x = 10,053,740.83
  5. Step 5: Solve for x
    x = 10,053,740.83/3,498.99
  6. Step 6: Final answer
    x = 2,873.33

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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.