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Finding the Fourth Proportional to 3,996.47, 5,509.20 and 2,580.05

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Solution

The fourth proportional to 3,996.47, 5,509.20 and 2,580.05 is: 3,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.47 : 5,509.20 = 2,580.05 : x
  2. Step 2: Convert to fraction form
    3,996.47/5,509.20 = 2,580.05/x
  3. Step 3: Cross multiply
    3,996.47x = 5,509.20 × 2,580.05
  4. Step 4: Simplify right side
    3,996.47x = 14,213,983.91
  5. Step 5: Solve for x
    x = 14,213,983.91/3,996.47
  6. Step 6: Final answer
    x = 3,556.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.