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Finding the Fourth Proportional to 5,104, 7,657.82 and 2,508.76

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Solution

The fourth proportional to 5,104, 7,657.82 and 2,508.76 is: 3,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104 : 7,657.82 = 2,508.76 : x
  2. Step 2: Convert to fraction form
    5,104/7,657.82 = 2,508.76/x
  3. Step 3: Cross multiply
    5,104x = 7,657.82 × 2,508.76
  4. Step 4: Simplify right side
    5,104x = 19,211,632.50
  5. Step 5: Solve for x
    x = 19,211,632.50/5,104
  6. Step 6: Final answer
    x = 3,764.03

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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.