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Finding the Fourth Proportional to 3,783.89, 5,675.82 and 1,563.98

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Solution

The fourth proportional to 3,783.89, 5,675.82 and 1,563.98 is: 2,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.89 : 5,675.82 = 1,563.98 : x
  2. Step 2: Convert to fraction form
    3,783.89/5,675.82 = 1,563.98/x
  3. Step 3: Cross multiply
    3,783.89x = 5,675.82 × 1,563.98
  4. Step 4: Simplify right side
    3,783.89x = 8,876,840.58
  5. Step 5: Solve for x
    x = 8,876,840.58/3,783.89
  6. Step 6: Final answer
    x = 2,345.96

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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.