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Finding the Fourth Proportional to 7,858.22, 11,779.71 and 2,589.60

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Solution

The fourth proportional to 7,858.22, 11,779.71 and 2,589.60 is: 3,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.22 : 11,779.71 = 2,589.60 : x
  2. Step 2: Convert to fraction form
    7,858.22/11,779.71 = 2,589.60/x
  3. Step 3: Cross multiply
    7,858.22x = 11,779.71 × 2,589.60
  4. Step 4: Simplify right side
    7,858.22x = 30,504,737.02
  5. Step 5: Solve for x
    x = 30,504,737.02/7,858.22
  6. Step 6: Final answer
    x = 3,881.89

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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.