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Finding the Fourth Proportional to 3,763.05, 5,644.82 and 989.79

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Solution

The fourth proportional to 3,763.05, 5,644.82 and 989.79 is: 1,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.05 : 5,644.82 = 989.79 : x
  2. Step 2: Convert to fraction form
    3,763.05/5,644.82 = 989.79/x
  3. Step 3: Cross multiply
    3,763.05x = 5,644.82 × 989.79
  4. Step 4: Simplify right side
    3,763.05x = 5,587,186.39
  5. Step 5: Solve for x
    x = 5,587,186.39/3,763.05
  6. Step 6: Final answer
    x = 1,484.75

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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.