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Finding the Fourth Proportional to 5,113.80, 7,662.83 and 3,029.65

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Solution

The fourth proportional to 5,113.80, 7,662.83 and 3,029.65 is: 4,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.80 : 7,662.83 = 3,029.65 : x
  2. Step 2: Convert to fraction form
    5,113.80/7,662.83 = 3,029.65/x
  3. Step 3: Cross multiply
    5,113.80x = 7,662.83 × 3,029.65
  4. Step 4: Simplify right side
    5,113.80x = 23,215,692.91
  5. Step 5: Solve for x
    x = 23,215,692.91/5,113.80
  6. Step 6: Final answer
    x = 4,539.81

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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.