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Finding the Fourth Proportional to 5,718.97, 7,892.59 and 4,213.43

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Solution

The fourth proportional to 5,718.97, 7,892.59 and 4,213.43 is: 5,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.97 : 7,892.59 = 4,213.43 : x
  2. Step 2: Convert to fraction form
    5,718.97/7,892.59 = 4,213.43/x
  3. Step 3: Cross multiply
    5,718.97x = 7,892.59 × 4,213.43
  4. Step 4: Simplify right side
    5,718.97x = 33,254,907.38
  5. Step 5: Solve for x
    x = 33,254,907.38/5,718.97
  6. Step 6: Final answer
    x = 5,814.84

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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.