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Finding the Fourth Proportional to 3,744.26, 5,616.71 and 970.89

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Solution

The fourth proportional to 3,744.26, 5,616.71 and 970.89 is: 1,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.26 : 5,616.71 = 970.89 : x
  2. Step 2: Convert to fraction form
    3,744.26/5,616.71 = 970.89/x
  3. Step 3: Cross multiply
    3,744.26x = 5,616.71 × 970.89
  4. Step 4: Simplify right side
    3,744.26x = 5,453,207.57
  5. Step 5: Solve for x
    x = 5,453,207.57/3,744.26
  6. Step 6: Final answer
    x = 1,456.42

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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.