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Finding the Fourth Proportional to 3,666.82, 5,060.12 and 2,029.64

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Solution

The fourth proportional to 3,666.82, 5,060.12 and 2,029.64 is: 2,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.82 : 5,060.12 = 2,029.64 : x
  2. Step 2: Convert to fraction form
    3,666.82/5,060.12 = 2,029.64/x
  3. Step 3: Cross multiply
    3,666.82x = 5,060.12 × 2,029.64
  4. Step 4: Simplify right side
    3,666.82x = 10,270,253.44
  5. Step 5: Solve for x
    x = 10,270,253.44/3,666.82
  6. Step 6: Final answer
    x = 2,800.86

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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.