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Finding the Fourth Proportional to 5,337.38, 7,364.76 and 3,212.75

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Solution

The fourth proportional to 5,337.38, 7,364.76 and 3,212.75 is: 4,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.38 : 7,364.76 = 3,212.75 : x
  2. Step 2: Convert to fraction form
    5,337.38/7,364.76 = 3,212.75/x
  3. Step 3: Cross multiply
    5,337.38x = 7,364.76 × 3,212.75
  4. Step 4: Simplify right side
    5,337.38x = 23,661,139.05
  5. Step 5: Solve for x
    x = 23,661,139.05/5,337.38
  6. Step 6: Final answer
    x = 4,433.10

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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.