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Finding the Fourth Proportional to 3,744.22, 5,616.34 and 970.69

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Solution

The fourth proportional to 3,744.22, 5,616.34 and 970.69 is: 1,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.22 : 5,616.34 = 970.69 : x
  2. Step 2: Convert to fraction form
    3,744.22/5,616.34 = 970.69/x
  3. Step 3: Cross multiply
    3,744.22x = 5,616.34 × 970.69
  4. Step 4: Simplify right side
    3,744.22x = 5,451,741.54
  5. Step 5: Solve for x
    x = 5,451,741.54/3,744.22
  6. Step 6: Final answer
    x = 1,456.04

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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.