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Finding the Fourth Proportional to 5,310.43, 7,329.18 and 3,823.27

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Solution

The fourth proportional to 5,310.43, 7,329.18 and 3,823.27 is: 5,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.43 : 7,329.18 = 3,823.27 : x
  2. Step 2: Convert to fraction form
    5,310.43/7,329.18 = 3,823.27/x
  3. Step 3: Cross multiply
    5,310.43x = 7,329.18 × 3,823.27
  4. Step 4: Simplify right side
    5,310.43x = 28,021,434.02
  5. Step 5: Solve for x
    x = 28,021,434.02/5,310.43
  6. Step 6: Final answer
    x = 5,276.68

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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.