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Finding the Fourth Proportional to 3,498.75, 4,827.33 and 2,082.42

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Solution

The fourth proportional to 3,498.75, 4,827.33 and 2,082.42 is: 2,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.75 : 4,827.33 = 2,082.42 : x
  2. Step 2: Convert to fraction form
    3,498.75/4,827.33 = 2,082.42/x
  3. Step 3: Cross multiply
    3,498.75x = 4,827.33 × 2,082.42
  4. Step 4: Simplify right side
    3,498.75x = 10,052,528.54
  5. Step 5: Solve for x
    x = 10,052,528.54/3,498.75
  6. Step 6: Final answer
    x = 2,873.18

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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.