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Finding the Fourth Proportional to 5,078.46, 7,600.80 and 4,469.49

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Solution

The fourth proportional to 5,078.46, 7,600.80 and 4,469.49 is: 6,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.46 : 7,600.80 = 4,469.49 : x
  2. Step 2: Convert to fraction form
    5,078.46/7,600.80 = 4,469.49/x
  3. Step 3: Cross multiply
    5,078.46x = 7,600.80 × 4,469.49
  4. Step 4: Simplify right side
    5,078.46x = 33,971,699.59
  5. Step 5: Solve for x
    x = 33,971,699.59/5,078.46
  6. Step 6: Final answer
    x = 6,689.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.