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Finding the Fourth Proportional to 5,814.74, 8,722.31 and 2,305.41

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Solution

The fourth proportional to 5,814.74, 8,722.31 and 2,305.41 is: 3,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.74 : 8,722.31 = 2,305.41 : x
  2. Step 2: Convert to fraction form
    5,814.74/8,722.31 = 2,305.41/x
  3. Step 3: Cross multiply
    5,814.74x = 8,722.31 × 2,305.41
  4. Step 4: Simplify right side
    5,814.74x = 20,108,489.17
  5. Step 5: Solve for x
    x = 20,108,489.17/5,814.74
  6. Step 6: Final answer
    x = 3,458.20

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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.