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Finding the Fourth Proportional to 5,978.60, 8,250.26 and 3,325.95

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Solution

The fourth proportional to 5,978.60, 8,250.26 and 3,325.95 is: 4,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.60 : 8,250.26 = 3,325.95 : x
  2. Step 2: Convert to fraction form
    5,978.60/8,250.26 = 3,325.95/x
  3. Step 3: Cross multiply
    5,978.60x = 8,250.26 × 3,325.95
  4. Step 4: Simplify right side
    5,978.60x = 27,439,935.62
  5. Step 5: Solve for x
    x = 27,439,935.62/5,978.60
  6. Step 6: Final answer
    x = 4,589.70

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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.