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Finding the Fourth Proportional to 4,764.66, 7,147.89 and 1,476.99

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Solution

The fourth proportional to 4,764.66, 7,147.89 and 1,476.99 is: 2,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.66 : 7,147.89 = 1,476.99 : x
  2. Step 2: Convert to fraction form
    4,764.66/7,147.89 = 1,476.99/x
  3. Step 3: Cross multiply
    4,764.66x = 7,147.89 × 1,476.99
  4. Step 4: Simplify right side
    4,764.66x = 10,557,362.05
  5. Step 5: Solve for x
    x = 10,557,362.05/4,764.66
  6. Step 6: Final answer
    x = 2,215.76

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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.