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Finding the Fourth Proportional to 5,978.58, 8,250.32 and 3,325.66

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Solution

The fourth proportional to 5,978.58, 8,250.32 and 3,325.66 is: 4,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.58 : 8,250.32 = 3,325.66 : x
  2. Step 2: Convert to fraction form
    5,978.58/8,250.32 = 3,325.66/x
  3. Step 3: Cross multiply
    5,978.58x = 8,250.32 × 3,325.66
  4. Step 4: Simplify right side
    5,978.58x = 27,437,759.21
  5. Step 5: Solve for x
    x = 27,437,759.21/5,978.58
  6. Step 6: Final answer
    x = 4,589.34

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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.