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Finding the Fourth Proportional to 5,943.52, 8,204.12 and 3,676.59

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Solution

The fourth proportional to 5,943.52, 8,204.12 and 3,676.59 is: 5,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.52 : 8,204.12 = 3,676.59 : x
  2. Step 2: Convert to fraction form
    5,943.52/8,204.12 = 3,676.59/x
  3. Step 3: Cross multiply
    5,943.52x = 8,204.12 × 3,676.59
  4. Step 4: Simplify right side
    5,943.52x = 30,163,180.96
  5. Step 5: Solve for x
    x = 30,163,180.96/5,943.52
  6. Step 6: Final answer
    x = 5,074.97

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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.