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Finding the Fourth Proportional to 5,324.75, 7,935.22 and 5,164.43

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Solution

The fourth proportional to 5,324.75, 7,935.22 and 5,164.43 is: 7,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.75 : 7,935.22 = 5,164.43 : x
  2. Step 2: Convert to fraction form
    5,324.75/7,935.22 = 5,164.43/x
  3. Step 3: Cross multiply
    5,324.75x = 7,935.22 × 5,164.43
  4. Step 4: Simplify right side
    5,324.75x = 40,980,869.53
  5. Step 5: Solve for x
    x = 40,980,869.53/5,324.75
  6. Step 6: Final answer
    x = 7,696.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.