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Finding the Fourth Proportional to 5,329.38, 7,364.67 and 4,000.80

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Solution

The fourth proportional to 5,329.38, 7,364.67 and 4,000.80 is: 5,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.38 : 7,364.67 = 4,000.80 : x
  2. Step 2: Convert to fraction form
    5,329.38/7,364.67 = 4,000.80/x
  3. Step 3: Cross multiply
    5,329.38x = 7,364.67 × 4,000.80
  4. Step 4: Simplify right side
    5,329.38x = 29,464,571.74
  5. Step 5: Solve for x
    x = 29,464,571.74/5,329.38
  6. Step 6: Final answer
    x = 5,528.71

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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.