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Finding the Fourth Proportional to 3,715.69, 5,128.10 and 2,143.75

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Solution

The fourth proportional to 3,715.69, 5,128.10 and 2,143.75 is: 2,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.69 : 5,128.10 = 2,143.75 : x
  2. Step 2: Convert to fraction form
    3,715.69/5,128.10 = 2,143.75/x
  3. Step 3: Cross multiply
    3,715.69x = 5,128.10 × 2,143.75
  4. Step 4: Simplify right side
    3,715.69x = 10,993,364.38
  5. Step 5: Solve for x
    x = 10,993,364.38/3,715.69
  6. Step 6: Final answer
    x = 2,958.63

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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.