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Finding the Fourth Proportional to 5,184.47, 7,768.82 and 3,798.73

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Solution

The fourth proportional to 5,184.47, 7,768.82 and 3,798.73 is: 5,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.47 : 7,768.82 = 3,798.73 : x
  2. Step 2: Convert to fraction form
    5,184.47/7,768.82 = 3,798.73/x
  3. Step 3: Cross multiply
    5,184.47x = 7,768.82 × 3,798.73
  4. Step 4: Simplify right side
    5,184.47x = 29,511,639.67
  5. Step 5: Solve for x
    x = 29,511,639.67/5,184.47
  6. Step 6: Final answer
    x = 5,692.31

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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.