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Finding the Fourth Proportional to 3,927.23, 5,890.82 and 965.66

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Solution

The fourth proportional to 3,927.23, 5,890.82 and 965.66 is: 1,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.23 : 5,890.82 = 965.66 : x
  2. Step 2: Convert to fraction form
    3,927.23/5,890.82 = 965.66/x
  3. Step 3: Cross multiply
    3,927.23x = 5,890.82 × 965.66
  4. Step 4: Simplify right side
    3,927.23x = 5,688,524.41
  5. Step 5: Solve for x
    x = 5,688,524.41/3,927.23
  6. Step 6: Final answer
    x = 1,448.48

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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.