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Finding the Fourth Proportional to 4,274.57, 5,895.74 and 3,212.38

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Solution

The fourth proportional to 4,274.57, 5,895.74 and 3,212.38 is: 4,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.57 : 5,895.74 = 3,212.38 : x
  2. Step 2: Convert to fraction form
    4,274.57/5,895.74 = 3,212.38/x
  3. Step 3: Cross multiply
    4,274.57x = 5,895.74 × 3,212.38
  4. Step 4: Simplify right side
    4,274.57x = 18,939,371.17
  5. Step 5: Solve for x
    x = 18,939,371.17/4,274.57
  6. Step 6: Final answer
    x = 4,430.71

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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.