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Finding the Fourth Proportional to 4,546.62, 6,819.54 and 1,259.46

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Solution

The fourth proportional to 4,546.62, 6,819.54 and 1,259.46 is: 1,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.62 : 6,819.54 = 1,259.46 : x
  2. Step 2: Convert to fraction form
    4,546.62/6,819.54 = 1,259.46/x
  3. Step 3: Cross multiply
    4,546.62x = 6,819.54 × 1,259.46
  4. Step 4: Simplify right side
    4,546.62x = 8,588,937.85
  5. Step 5: Solve for x
    x = 8,588,937.85/4,546.62
  6. Step 6: Final answer
    x = 1,889.08

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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.