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Finding the Fourth Proportional to 5,186.44, 7,779.66 and 1,723.24

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Solution

The fourth proportional to 5,186.44, 7,779.66 and 1,723.24 is: 2,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.44 : 7,779.66 = 1,723.24 : x
  2. Step 2: Convert to fraction form
    5,186.44/7,779.66 = 1,723.24/x
  3. Step 3: Cross multiply
    5,186.44x = 7,779.66 × 1,723.24
  4. Step 4: Simplify right side
    5,186.44x = 13,406,221.30
  5. Step 5: Solve for x
    x = 13,406,221.30/5,186.44
  6. Step 6: Final answer
    x = 2,584.86

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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.