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Finding the Fourth Proportional to 5,978.04, 8,249.19 and 3,325.38

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Solution

The fourth proportional to 5,978.04, 8,249.19 and 3,325.38 is: 4,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.04 : 8,249.19 = 3,325.38 : x
  2. Step 2: Convert to fraction form
    5,978.04/8,249.19 = 3,325.38/x
  3. Step 3: Cross multiply
    5,978.04x = 8,249.19 × 3,325.38
  4. Step 4: Simplify right side
    5,978.04x = 27,431,691.44
  5. Step 5: Solve for x
    x = 27,431,691.44/5,978.04
  6. Step 6: Final answer
    x = 4,588.74

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1.5x scale

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.