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Finding the Fourth Proportional to 5,827.64, 8,042.22 and 3,309.56

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Solution

The fourth proportional to 5,827.64, 8,042.22 and 3,309.56 is: 4,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.64 : 8,042.22 = 3,309.56 : x
  2. Step 2: Convert to fraction form
    5,827.64/8,042.22 = 3,309.56/x
  3. Step 3: Cross multiply
    5,827.64x = 8,042.22 × 3,309.56
  4. Step 4: Simplify right side
    5,827.64x = 26,616,209.62
  5. Step 5: Solve for x
    x = 26,616,209.62/5,827.64
  6. Step 6: Final answer
    x = 4,567.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.