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Finding the Fourth Proportional to 4,082.71, 5,634.12 and 2,219.71

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Solution

The fourth proportional to 4,082.71, 5,634.12 and 2,219.71 is: 3,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.71 : 5,634.12 = 2,219.71 : x
  2. Step 2: Convert to fraction form
    4,082.71/5,634.12 = 2,219.71/x
  3. Step 3: Cross multiply
    4,082.71x = 5,634.12 × 2,219.71
  4. Step 4: Simplify right side
    4,082.71x = 12,506,112.51
  5. Step 5: Solve for x
    x = 12,506,112.51/4,082.71
  6. Step 6: Final answer
    x = 3,063.19

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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.