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Finding the Fourth Proportional to 3,391.49, 5,086.71 and 926.50

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Solution

The fourth proportional to 3,391.49, 5,086.71 and 926.50 is: 1,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.49 : 5,086.71 = 926.50 : x
  2. Step 2: Convert to fraction form
    3,391.49/5,086.71 = 926.50/x
  3. Step 3: Cross multiply
    3,391.49x = 5,086.71 × 926.50
  4. Step 4: Simplify right side
    3,391.49x = 4,712,836.82
  5. Step 5: Solve for x
    x = 4,712,836.82/3,391.49
  6. Step 6: Final answer
    x = 1,389.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.