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Finding the Fourth Proportional to 5,676.94, 7,832.04 and 4,188.44

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Solution

The fourth proportional to 5,676.94, 7,832.04 and 4,188.44 is: 5,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.94 : 7,832.04 = 4,188.44 : x
  2. Step 2: Convert to fraction form
    5,676.94/7,832.04 = 4,188.44/x
  3. Step 3: Cross multiply
    5,676.94x = 7,832.04 × 4,188.44
  4. Step 4: Simplify right side
    5,676.94x = 32,804,029.62
  5. Step 5: Solve for x
    x = 32,804,029.62/5,676.94
  6. Step 6: Final answer
    x = 5,778.47

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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.