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Finding the Fourth Proportional to 5,978.76, 8,250.46 and 3,326.08

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Solution

The fourth proportional to 5,978.76, 8,250.46 and 3,326.08 is: 4,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.76 : 8,250.46 = 3,326.08 : x
  2. Step 2: Convert to fraction form
    5,978.76/8,250.46 = 3,326.08/x
  3. Step 3: Cross multiply
    5,978.76x = 8,250.46 × 3,326.08
  4. Step 4: Simplify right side
    5,978.76x = 27,441,690.00
  5. Step 5: Solve for x
    x = 27,441,690.00/5,978.76
  6. Step 6: Final answer
    x = 4,589.86

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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.