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Finding the Fourth Proportional to 4,773.78, 7,161.47 and 2,000.66

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Solution

The fourth proportional to 4,773.78, 7,161.47 and 2,000.66 is: 3,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.78 : 7,161.47 = 2,000.66 : x
  2. Step 2: Convert to fraction form
    4,773.78/7,161.47 = 2,000.66/x
  3. Step 3: Cross multiply
    4,773.78x = 7,161.47 × 2,000.66
  4. Step 4: Simplify right side
    4,773.78x = 14,327,676.35
  5. Step 5: Solve for x
    x = 14,327,676.35/4,773.78
  6. Step 6: Final answer
    x = 3,001.33

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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.