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Finding the Fourth Proportional to 5,042.66, 7,564.80 and 2,121.80

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Solution

The fourth proportional to 5,042.66, 7,564.80 and 2,121.80 is: 3,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.66 : 7,564.80 = 2,121.80 : x
  2. Step 2: Convert to fraction form
    5,042.66/7,564.80 = 2,121.80/x
  3. Step 3: Cross multiply
    5,042.66x = 7,564.80 × 2,121.80
  4. Step 4: Simplify right side
    5,042.66x = 16,050,944.21
  5. Step 5: Solve for x
    x = 16,050,944.21/5,042.66
  6. Step 6: Final answer
    x = 3,183.03

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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.