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Finding the Fourth Proportional to 3,827.00, 5,279.71 and 2,408.18

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Solution

The fourth proportional to 3,827.00, 5,279.71 and 2,408.18 is: 3,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.00 : 5,279.71 = 2,408.18 : x
  2. Step 2: Convert to fraction form
    3,827.00/5,279.71 = 2,408.18/x
  3. Step 3: Cross multiply
    3,827.00x = 5,279.71 × 2,408.18
  4. Step 4: Simplify right side
    3,827.00x = 12,714,487.05
  5. Step 5: Solve for x
    x = 12,714,487.05/3,827.00
  6. Step 6: Final answer
    x = 3,322.31

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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.