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Finding the Fourth Proportional to 5,185.44, 7,778.16 and 4,667.04

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Solution

The fourth proportional to 5,185.44, 7,778.16 and 4,667.04 is: 7,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.44 : 7,778.16 = 4,667.04 : x
  2. Step 2: Convert to fraction form
    5,185.44/7,778.16 = 4,667.04/x
  3. Step 3: Cross multiply
    5,185.44x = 7,778.16 × 4,667.04
  4. Step 4: Simplify right side
    5,185.44x = 36,300,983.85
  5. Step 5: Solve for x
    x = 36,300,983.85/5,185.44
  6. Step 6: Final answer
    x = 7,000.56

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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.