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Finding the Fourth Proportional to 3,858.90, 5,791.36 and 1,779.84

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Solution

The fourth proportional to 3,858.90, 5,791.36 and 1,779.84 is: 2,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.90 : 5,791.36 = 1,779.84 : x
  2. Step 2: Convert to fraction form
    3,858.90/5,791.36 = 1,779.84/x
  3. Step 3: Cross multiply
    3,858.90x = 5,791.36 × 1,779.84
  4. Step 4: Simplify right side
    3,858.90x = 10,307,694.18
  5. Step 5: Solve for x
    x = 10,307,694.18/3,858.90
  6. Step 6: Final answer
    x = 2,671.15

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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.