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Finding the Fourth Proportional to 4,834.08, 7,251.84 and 1,546.20

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Solution

The fourth proportional to 4,834.08, 7,251.84 and 1,546.20 is: 2,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.08 : 7,251.84 = 1,546.20 : x
  2. Step 2: Convert to fraction form
    4,834.08/7,251.84 = 1,546.20/x
  3. Step 3: Cross multiply
    4,834.08x = 7,251.84 × 1,546.20
  4. Step 4: Simplify right side
    4,834.08x = 11,212,795.01
  5. Step 5: Solve for x
    x = 11,212,795.01/4,834.08
  6. Step 6: Final answer
    x = 2,319.53

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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.