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Finding the Fourth Proportional to 5,185.35, 7,778.02 and 1,722.60

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Solution

The fourth proportional to 5,185.35, 7,778.02 and 1,722.60 is: 2,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.35 : 7,778.02 = 1,722.60 : x
  2. Step 2: Convert to fraction form
    5,185.35/7,778.02 = 1,722.60/x
  3. Step 3: Cross multiply
    5,185.35x = 7,778.02 × 1,722.60
  4. Step 4: Simplify right side
    5,185.35x = 13,398,369.75
  5. Step 5: Solve for x
    x = 13,398,369.75/5,185.35
  6. Step 6: Final answer
    x = 2,583.89

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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.