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Finding the Fourth Proportional to 3,821.28, 5,266.22 and 2,980.65

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Solution

The fourth proportional to 3,821.28, 5,266.22 and 2,980.65 is: 4,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.28 : 5,266.22 = 2,980.65 : x
  2. Step 2: Convert to fraction form
    3,821.28/5,266.22 = 2,980.65/x
  3. Step 3: Cross multiply
    3,821.28x = 5,266.22 × 2,980.65
  4. Step 4: Simplify right side
    3,821.28x = 15,696,758.64
  5. Step 5: Solve for x
    x = 15,696,758.64/3,821.28
  6. Step 6: Final answer
    x = 4,107.72

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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.