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Finding the Fourth Proportional to 3,779.25, 5,664.82 and 1,827.15

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Solution

The fourth proportional to 3,779.25, 5,664.82 and 1,827.15 is: 2,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.25 : 5,664.82 = 1,827.15 : x
  2. Step 2: Convert to fraction form
    3,779.25/5,664.82 = 1,827.15/x
  3. Step 3: Cross multiply
    3,779.25x = 5,664.82 × 1,827.15
  4. Step 4: Simplify right side
    3,779.25x = 10,350,475.86
  5. Step 5: Solve for x
    x = 10,350,475.86/3,779.25
  6. Step 6: Final answer
    x = 2,738.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.