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Finding the Fourth Proportional to 5,463.86, 8,193.96 and 1,765.09

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Solution

The fourth proportional to 5,463.86, 8,193.96 and 1,765.09 is: 2,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.86 : 8,193.96 = 1,765.09 : x
  2. Step 2: Convert to fraction form
    5,463.86/8,193.96 = 1,765.09/x
  3. Step 3: Cross multiply
    5,463.86x = 8,193.96 × 1,765.09
  4. Step 4: Simplify right side
    5,463.86x = 14,463,087.10
  5. Step 5: Solve for x
    x = 14,463,087.10/5,463.86
  6. Step 6: Final answer
    x = 2,647.05

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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.