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Finding the Fourth Proportional to 5,814.69, 8,722.13 and 5,519.31

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Solution

The fourth proportional to 5,814.69, 8,722.13 and 5,519.31 is: 8,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.69 : 8,722.13 = 5,519.31 : x
  2. Step 2: Convert to fraction form
    5,814.69/8,722.13 = 5,519.31/x
  3. Step 3: Cross multiply
    5,814.69x = 8,722.13 × 5,519.31
  4. Step 4: Simplify right side
    5,814.69x = 48,140,111.73
  5. Step 5: Solve for x
    x = 48,140,111.73/5,814.69
  6. Step 6: Final answer
    x = 8,279.05

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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.