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Finding the Fourth Proportional to 5,713.26, 7,892.28 and 5,414.01

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Solution

The fourth proportional to 5,713.26, 7,892.28 and 5,414.01 is: 7,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.26 : 7,892.28 = 5,414.01 : x
  2. Step 2: Convert to fraction form
    5,713.26/7,892.28 = 5,414.01/x
  3. Step 3: Cross multiply
    5,713.26x = 7,892.28 × 5,414.01
  4. Step 4: Simplify right side
    5,713.26x = 42,728,882.84
  5. Step 5: Solve for x
    x = 42,728,882.84/5,713.26
  6. Step 6: Final answer
    x = 7,478.90

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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.