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Finding the Fourth Proportional to 5,640.71, 7,786.26 and 3,402.68

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Solution

The fourth proportional to 5,640.71, 7,786.26 and 3,402.68 is: 4,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.71 : 7,786.26 = 3,402.68 : x
  2. Step 2: Convert to fraction form
    5,640.71/7,786.26 = 3,402.68/x
  3. Step 3: Cross multiply
    5,640.71x = 7,786.26 × 3,402.68
  4. Step 4: Simplify right side
    5,640.71x = 26,494,112.25
  5. Step 5: Solve for x
    x = 26,494,112.25/5,640.71
  6. Step 6: Final answer
    x = 4,696.95

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1.5x scale

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.