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Finding the Fourth Proportional to 3,804.62, 5,251.97 and 2,313

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Solution

The fourth proportional to 3,804.62, 5,251.97 and 2,313 is: 3,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.62 : 5,251.97 = 2,313 : x
  2. Step 2: Convert to fraction form
    3,804.62/5,251.97 = 2,313/x
  3. Step 3: Cross multiply
    3,804.62x = 5,251.97 × 2,313
  4. Step 4: Simplify right side
    3,804.62x = 12,147,812.39
  5. Step 5: Solve for x
    x = 12,147,812.39/3,804.62
  6. Step 6: Final answer
    x = 3,192.92

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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.