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Finding the Fourth Proportional to 5,676.57, 8,514.18 and 1,978.49

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Solution

The fourth proportional to 5,676.57, 8,514.18 and 1,978.49 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.57 : 8,514.18 = 1,978.49 : x
  2. Step 2: Convert to fraction form
    5,676.57/8,514.18 = 1,978.49/x
  3. Step 3: Cross multiply
    5,676.57x = 8,514.18 × 1,978.49
  4. Step 4: Simplify right side
    5,676.57x = 16,845,241.27
  5. Step 5: Solve for x
    x = 16,845,241.27/5,676.57
  6. Step 6: Final answer
    x = 2,967.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.