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Finding the Fourth Proportional to 5,781.21, 7,977.98 and 3,228.94

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Solution

The fourth proportional to 5,781.21, 7,977.98 and 3,228.94 is: 4,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.21 : 7,977.98 = 3,228.94 : x
  2. Step 2: Convert to fraction form
    5,781.21/7,977.98 = 3,228.94/x
  3. Step 3: Cross multiply
    5,781.21x = 7,977.98 × 3,228.94
  4. Step 4: Simplify right side
    5,781.21x = 25,760,418.74
  5. Step 5: Solve for x
    x = 25,760,418.74/5,781.21
  6. Step 6: Final answer
    x = 4,455.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.