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Finding the Fourth Proportional to 5,743.82, 8,608.40 and 5,000.40

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Solution

The fourth proportional to 5,743.82, 8,608.40 and 5,000.40 is: 7,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.82 : 8,608.40 = 5,000.40 : x
  2. Step 2: Convert to fraction form
    5,743.82/8,608.40 = 5,000.40/x
  3. Step 3: Cross multiply
    5,743.82x = 8,608.40 × 5,000.40
  4. Step 4: Simplify right side
    5,743.82x = 43,045,443.36
  5. Step 5: Solve for x
    x = 43,045,443.36/5,743.82
  6. Step 6: Final answer
    x = 7,494.22

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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.