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Finding the Fourth Proportional to 5,138.76, 7,709.34 and 1,676

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Solution

The fourth proportional to 5,138.76, 7,709.34 and 1,676 is: 2,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.76 : 7,709.34 = 1,676 : x
  2. Step 2: Convert to fraction form
    5,138.76/7,709.34 = 1,676/x
  3. Step 3: Cross multiply
    5,138.76x = 7,709.34 × 1,676
  4. Step 4: Simplify right side
    5,138.76x = 12,920,853.84
  5. Step 5: Solve for x
    x = 12,920,853.84/5,138.76
  6. Step 6: Final answer
    x = 2,514.39

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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.