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Finding the Fourth Proportional to 4,764.08, 7,138.26 and 1,642.39

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Solution

The fourth proportional to 4,764.08, 7,138.26 and 1,642.39 is: 2,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.08 : 7,138.26 = 1,642.39 : x
  2. Step 2: Convert to fraction form
    4,764.08/7,138.26 = 1,642.39/x
  3. Step 3: Cross multiply
    4,764.08x = 7,138.26 × 1,642.39
  4. Step 4: Simplify right side
    4,764.08x = 11,723,806.84
  5. Step 5: Solve for x
    x = 11,723,806.84/4,764.08
  6. Step 6: Final answer
    x = 2,460.88

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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.