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Finding the Fourth Proportional to 5,186.04, 7,779.15 and 1,723.29

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Solution

The fourth proportional to 5,186.04, 7,779.15 and 1,723.29 is: 2,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.04 : 7,779.15 = 1,723.29 : x
  2. Step 2: Convert to fraction form
    5,186.04/7,779.15 = 1,723.29/x
  3. Step 3: Cross multiply
    5,186.04x = 7,779.15 × 1,723.29
  4. Step 4: Simplify right side
    5,186.04x = 13,405,731.40
  5. Step 5: Solve for x
    x = 13,405,731.40/5,186.04
  6. Step 6: Final answer
    x = 2,584.96

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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.