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Finding the Fourth Proportional to 5,743.38, 8,609.31 and 4,764.18

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Solution

The fourth proportional to 5,743.38, 8,609.31 and 4,764.18 is: 7,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.38 : 8,609.31 = 4,764.18 : x
  2. Step 2: Convert to fraction form
    5,743.38/8,609.31 = 4,764.18/x
  3. Step 3: Cross multiply
    5,743.38x = 8,609.31 × 4,764.18
  4. Step 4: Simplify right side
    5,743.38x = 41,016,302.52
  5. Step 5: Solve for x
    x = 41,016,302.52/5,743.38
  6. Step 6: Final answer
    x = 7,141.49

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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.