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Finding the Fourth Proportional to 3,725.87, 5,580.29 and 1,779.44

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Solution

The fourth proportional to 3,725.87, 5,580.29 and 1,779.44 is: 2,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.87 : 5,580.29 = 1,779.44 : x
  2. Step 2: Convert to fraction form
    3,725.87/5,580.29 = 1,779.44/x
  3. Step 3: Cross multiply
    3,725.87x = 5,580.29 × 1,779.44
  4. Step 4: Simplify right side
    3,725.87x = 9,929,791.24
  5. Step 5: Solve for x
    x = 9,929,791.24/3,725.87
  6. Step 6: Final answer
    x = 2,665.09

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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.