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Finding the Fourth Proportional to 5,766.48, 7,950.30 and 3,776.31

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Solution

The fourth proportional to 5,766.48, 7,950.30 and 3,776.31 is: 5,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.48 : 7,950.30 = 3,776.31 : x
  2. Step 2: Convert to fraction form
    5,766.48/7,950.30 = 3,776.31/x
  3. Step 3: Cross multiply
    5,766.48x = 7,950.30 × 3,776.31
  4. Step 4: Simplify right side
    5,766.48x = 30,022,797.39
  5. Step 5: Solve for x
    x = 30,022,797.39/5,766.48
  6. Step 6: Final answer
    x = 5,206.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.