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Finding the Fourth Proportional to 3,057.73, 4,584.34 and 976.53

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Solution

The fourth proportional to 3,057.73, 4,584.34 and 976.53 is: 1,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.73 : 4,584.34 = 976.53 : x
  2. Step 2: Convert to fraction form
    3,057.73/4,584.34 = 976.53/x
  3. Step 3: Cross multiply
    3,057.73x = 4,584.34 × 976.53
  4. Step 4: Simplify right side
    3,057.73x = 4,476,763.95
  5. Step 5: Solve for x
    x = 4,476,763.95/3,057.73
  6. Step 6: Final answer
    x = 1,464.08

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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.