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Finding the Fourth Proportional to 3,775.26, 5,664.89 and 2,743.77

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Solution

The fourth proportional to 3,775.26, 5,664.89 and 2,743.77 is: 4,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.26 : 5,664.89 = 2,743.77 : x
  2. Step 2: Convert to fraction form
    3,775.26/5,664.89 = 2,743.77/x
  3. Step 3: Cross multiply
    3,775.26x = 5,664.89 × 2,743.77
  4. Step 4: Simplify right side
    3,775.26x = 15,543,167.90
  5. Step 5: Solve for x
    x = 15,543,167.90/3,775.26
  6. Step 6: Final answer
    x = 4,117.11

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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.