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Finding the Fourth Proportional to 4,764, 7,146 and 3,281.76

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Solution

The fourth proportional to 4,764, 7,146 and 3,281.76 is: 4,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764 : 7,146 = 3,281.76 : x
  2. Step 2: Convert to fraction form
    4,764/7,146 = 3,281.76/x
  3. Step 3: Cross multiply
    4,764x = 7,146 × 3,281.76
  4. Step 4: Simplify right side
    4,764x = 23,451,456.96
  5. Step 5: Solve for x
    x = 23,451,456.96/4,764
  6. Step 6: Final answer
    x = 4,922.64

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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.