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Finding the Fourth Proportional to 5,743.83, 8,608.40 and 5,000.41

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Solution

The fourth proportional to 5,743.83, 8,608.40 and 5,000.41 is: 7,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.83 : 8,608.40 = 5,000.41 : x
  2. Step 2: Convert to fraction form
    5,743.83/8,608.40 = 5,000.41/x
  3. Step 3: Cross multiply
    5,743.83x = 8,608.40 × 5,000.41
  4. Step 4: Simplify right side
    5,743.83x = 43,045,461.40
  5. Step 5: Solve for x
    x = 43,045,461.40/5,743.83
  6. Step 6: Final answer
    x = 7,494.21

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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.