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Finding the Fourth Proportional to 4,764.14, 7,146.52 and 1,476.96

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Solution

The fourth proportional to 4,764.14, 7,146.52 and 1,476.96 is: 2,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.14 : 7,146.52 = 1,476.96 : x
  2. Step 2: Convert to fraction form
    4,764.14/7,146.52 = 1,476.96/x
  3. Step 3: Cross multiply
    4,764.14x = 7,146.52 × 1,476.96
  4. Step 4: Simplify right side
    4,764.14x = 10,555,124.18
  5. Step 5: Solve for x
    x = 10,555,124.18/4,764.14
  6. Step 6: Final answer
    x = 2,215.54

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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.