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Finding the Fourth Proportional to 5,978, 8,962.76 and 2,814.28

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Solution

The fourth proportional to 5,978, 8,962.76 and 2,814.28 is: 4,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 8,962.76 = 2,814.28 : x
  2. Step 2: Convert to fraction form
    5,978/8,962.76 = 2,814.28/x
  3. Step 3: Cross multiply
    5,978x = 8,962.76 × 2,814.28
  4. Step 4: Simplify right side
    5,978x = 25,223,716.21
  5. Step 5: Solve for x
    x = 25,223,716.21/5,978
  6. Step 6: Final answer
    x = 4,219.42

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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.