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Finding the Fourth Proportional to 4,606.08, 6,910.84 and 2,758.50

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Solution

The fourth proportional to 4,606.08, 6,910.84 and 2,758.50 is: 4,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.08 : 6,910.84 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    4,606.08/6,910.84 = 2,758.50/x
  3. Step 3: Cross multiply
    4,606.08x = 6,910.84 × 2,758.50
  4. Step 4: Simplify right side
    4,606.08x = 19,063,552.14
  5. Step 5: Solve for x
    x = 19,063,552.14/4,606.08
  6. Step 6: Final answer
    x = 4,138.78

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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.