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Finding the Fourth Proportional to 5,866.23, 8,096.19 and 3,776.43

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Solution

The fourth proportional to 5,866.23, 8,096.19 and 3,776.43 is: 5,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.23 : 8,096.19 = 3,776.43 : x
  2. Step 2: Convert to fraction form
    5,866.23/8,096.19 = 3,776.43/x
  3. Step 3: Cross multiply
    5,866.23x = 8,096.19 × 3,776.43
  4. Step 4: Simplify right side
    5,866.23x = 30,574,694.80
  5. Step 5: Solve for x
    x = 30,574,694.80/5,866.23
  6. Step 6: Final answer
    x = 5,211.98

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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.