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Finding the Fourth Proportional to 3,744.07, 5,616.07 and 970.73

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Solution

The fourth proportional to 3,744.07, 5,616.07 and 970.73 is: 1,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.07 : 5,616.07 = 970.73 : x
  2. Step 2: Convert to fraction form
    3,744.07/5,616.07 = 970.73/x
  3. Step 3: Cross multiply
    3,744.07x = 5,616.07 × 970.73
  4. Step 4: Simplify right side
    3,744.07x = 5,451,687.63
  5. Step 5: Solve for x
    x = 5,451,687.63/3,744.07
  6. Step 6: Final answer
    x = 1,456.09

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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.