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Finding the Fourth Proportional to 3,755.25, 5,182.29 and 2,184.30

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Solution

The fourth proportional to 3,755.25, 5,182.29 and 2,184.30 is: 3,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.25 : 5,182.29 = 2,184.30 : x
  2. Step 2: Convert to fraction form
    3,755.25/5,182.29 = 2,184.30/x
  3. Step 3: Cross multiply
    3,755.25x = 5,182.29 × 2,184.30
  4. Step 4: Simplify right side
    3,755.25x = 11,319,676.05
  5. Step 5: Solve for x
    x = 11,319,676.05/3,755.25
  6. Step 6: Final answer
    x = 3,014.36

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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.