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Finding the Fourth Proportional to 5,844.43, 8,770.48 and 2,146.69

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Solution

The fourth proportional to 5,844.43, 8,770.48 and 2,146.69 is: 3,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.43 : 8,770.48 = 2,146.69 : x
  2. Step 2: Convert to fraction form
    5,844.43/8,770.48 = 2,146.69/x
  3. Step 3: Cross multiply
    5,844.43x = 8,770.48 × 2,146.69
  4. Step 4: Simplify right side
    5,844.43x = 18,827,519.38
  5. Step 5: Solve for x
    x = 18,827,519.38/5,844.43
  6. Step 6: Final answer
    x = 3,221.45

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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.