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Finding the Fourth Proportional to 5,827.28, 8,042.10 and 3,309.80

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Solution

The fourth proportional to 5,827.28, 8,042.10 and 3,309.80 is: 4,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.28 : 8,042.10 = 3,309.80 : x
  2. Step 2: Convert to fraction form
    5,827.28/8,042.10 = 3,309.80/x
  3. Step 3: Cross multiply
    5,827.28x = 8,042.10 × 3,309.80
  4. Step 4: Simplify right side
    5,827.28x = 26,617,742.58
  5. Step 5: Solve for x
    x = 26,617,742.58/5,827.28
  6. Step 6: Final answer
    x = 4,567.78

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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.