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Finding the Fourth Proportional to 5,149.56, 7,723.65 and 2,189.19

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Solution

The fourth proportional to 5,149.56, 7,723.65 and 2,189.19 is: 3,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.56 : 7,723.65 = 2,189.19 : x
  2. Step 2: Convert to fraction form
    5,149.56/7,723.65 = 2,189.19/x
  3. Step 3: Cross multiply
    5,149.56x = 7,723.65 × 2,189.19
  4. Step 4: Simplify right side
    5,149.56x = 16,908,537.34
  5. Step 5: Solve for x
    x = 16,908,537.34/5,149.56
  6. Step 6: Final answer
    x = 3,283.49

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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.