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Finding the Fourth Proportional to 4,781.35, 7,174.82 and 2,007.82

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Solution

The fourth proportional to 4,781.35, 7,174.82 and 2,007.82 is: 3,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.35 : 7,174.82 = 2,007.82 : x
  2. Step 2: Convert to fraction form
    4,781.35/7,174.82 = 2,007.82/x
  3. Step 3: Cross multiply
    4,781.35x = 7,174.82 × 2,007.82
  4. Step 4: Simplify right side
    4,781.35x = 14,405,747.09
  5. Step 5: Solve for x
    x = 14,405,747.09/4,781.35
  6. Step 6: Final answer
    x = 3,012.90

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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.