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Finding the Fourth Proportional to 5,809.56, 8,714.33 and 2,344.38

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Solution

The fourth proportional to 5,809.56, 8,714.33 and 2,344.38 is: 3,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.56 : 8,714.33 = 2,344.38 : x
  2. Step 2: Convert to fraction form
    5,809.56/8,714.33 = 2,344.38/x
  3. Step 3: Cross multiply
    5,809.56x = 8,714.33 × 2,344.38
  4. Step 4: Simplify right side
    5,809.56x = 20,429,700.97
  5. Step 5: Solve for x
    x = 20,429,700.97/5,809.56
  6. Step 6: Final answer
    x = 3,516.57

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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.