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Finding the Fourth Proportional to 5,813.69, 8,009.34 and 4,042.22

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Solution

The fourth proportional to 5,813.69, 8,009.34 and 4,042.22 is: 5,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.69 : 8,009.34 = 4,042.22 : x
  2. Step 2: Convert to fraction form
    5,813.69/8,009.34 = 4,042.22/x
  3. Step 3: Cross multiply
    5,813.69x = 8,009.34 × 4,042.22
  4. Step 4: Simplify right side
    5,813.69x = 32,375,519.20
  5. Step 5: Solve for x
    x = 32,375,519.20/5,813.69
  6. Step 6: Final answer
    x = 5,568.84

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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.