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Finding the Fourth Proportional to 3,755.75, 5,181.14 and 2,429.87

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Solution

The fourth proportional to 3,755.75, 5,181.14 and 2,429.87 is: 3,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.75 : 5,181.14 = 2,429.87 : x
  2. Step 2: Convert to fraction form
    3,755.75/5,181.14 = 2,429.87/x
  3. Step 3: Cross multiply
    3,755.75x = 5,181.14 × 2,429.87
  4. Step 4: Simplify right side
    3,755.75x = 12,589,484.50
  5. Step 5: Solve for x
    x = 12,589,484.50/3,755.75
  6. Step 6: Final answer
    x = 3,352.06

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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.