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Finding the Fourth Proportional to 4,773.73, 7,128.44 and 3,897.94

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Solution

The fourth proportional to 4,773.73, 7,128.44 and 3,897.94 is: 5,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.73 : 7,128.44 = 3,897.94 : x
  2. Step 2: Convert to fraction form
    4,773.73/7,128.44 = 3,897.94/x
  3. Step 3: Cross multiply
    4,773.73x = 7,128.44 × 3,897.94
  4. Step 4: Simplify right side
    4,773.73x = 27,786,249.86
  5. Step 5: Solve for x
    x = 27,786,249.86/4,773.73
  6. Step 6: Final answer
    x = 5,820.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.