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Finding the Fourth Proportional to 5,748.67, 8,617.02 and 3,899.94

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Solution

The fourth proportional to 5,748.67, 8,617.02 and 3,899.94 is: 5,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.67 : 8,617.02 = 3,899.94 : x
  2. Step 2: Convert to fraction form
    5,748.67/8,617.02 = 3,899.94/x
  3. Step 3: Cross multiply
    5,748.67x = 8,617.02 × 3,899.94
  4. Step 4: Simplify right side
    5,748.67x = 33,605,860.98
  5. Step 5: Solve for x
    x = 33,605,860.98/5,748.67
  6. Step 6: Final answer
    x = 5,845.85

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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.