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Finding the Fourth Proportional to 3,666.96, 5,057.10 and 3,278.16

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Solution

The fourth proportional to 3,666.96, 5,057.10 and 3,278.16 is: 4,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.96 : 5,057.10 = 3,278.16 : x
  2. Step 2: Convert to fraction form
    3,666.96/5,057.10 = 3,278.16/x
  3. Step 3: Cross multiply
    3,666.96x = 5,057.10 × 3,278.16
  4. Step 4: Simplify right side
    3,666.96x = 16,577,982.94
  5. Step 5: Solve for x
    x = 16,577,982.94/3,666.96
  6. Step 6: Final answer
    x = 4,520.91

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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.