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Finding the Fourth Proportional to 2,821.63, 3,859.31 and 2,776.27

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Solution

The fourth proportional to 2,821.63, 3,859.31 and 2,776.27 is: 3,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.63 : 3,859.31 = 2,776.27 : x
  2. Step 2: Convert to fraction form
    2,821.63/3,859.31 = 2,776.27/x
  3. Step 3: Cross multiply
    2,821.63x = 3,859.31 × 2,776.27
  4. Step 4: Simplify right side
    2,821.63x = 10,714,486.57
  5. Step 5: Solve for x
    x = 10,714,486.57/2,821.63
  6. Step 6: Final answer
    x = 3,797.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.