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Finding the Fourth Proportional to 5,978.14, 8,255.75 and 4,926.33

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Solution

The fourth proportional to 5,978.14, 8,255.75 and 4,926.33 is: 6,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.14 : 8,255.75 = 4,926.33 : x
  2. Step 2: Convert to fraction form
    5,978.14/8,255.75 = 4,926.33/x
  3. Step 3: Cross multiply
    5,978.14x = 8,255.75 × 4,926.33
  4. Step 4: Simplify right side
    5,978.14x = 40,670,548.90
  5. Step 5: Solve for x
    x = 40,670,548.90/5,978.14
  6. Step 6: Final answer
    x = 6,803.21

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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.