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Finding the Fourth Proportional to 3,674.94, 5,513.22 and 1,176.09

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Solution

The fourth proportional to 3,674.94, 5,513.22 and 1,176.09 is: 1,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.94 : 5,513.22 = 1,176.09 : x
  2. Step 2: Convert to fraction form
    3,674.94/5,513.22 = 1,176.09/x
  3. Step 3: Cross multiply
    3,674.94x = 5,513.22 × 1,176.09
  4. Step 4: Simplify right side
    3,674.94x = 6,484,042.91
  5. Step 5: Solve for x
    x = 6,484,042.91/3,674.94
  6. Step 6: Final answer
    x = 1,764.39

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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.