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Finding the Fourth Proportional to 5,183.88, 7,774.56 and 1,899.30

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Solution

The fourth proportional to 5,183.88, 7,774.56 and 1,899.30 is: 2,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.88 : 7,774.56 = 1,899.30 : x
  2. Step 2: Convert to fraction form
    5,183.88/7,774.56 = 1,899.30/x
  3. Step 3: Cross multiply
    5,183.88x = 7,774.56 × 1,899.30
  4. Step 4: Simplify right side
    5,183.88x = 14,766,221.81
  5. Step 5: Solve for x
    x = 14,766,221.81/5,183.88
  6. Step 6: Final answer
    x = 2,848.49

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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.