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Finding the Fourth Proportional to 3,678.96, 5,479.50 and 3,661.04

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Solution

The fourth proportional to 3,678.96, 5,479.50 and 3,661.04 is: 5,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.96 : 5,479.50 = 3,661.04 : x
  2. Step 2: Convert to fraction form
    3,678.96/5,479.50 = 3,661.04/x
  3. Step 3: Cross multiply
    3,678.96x = 5,479.50 × 3,661.04
  4. Step 4: Simplify right side
    3,678.96x = 20,060,668.68
  5. Step 5: Solve for x
    x = 20,060,668.68/3,678.96
  6. Step 6: Final answer
    x = 5,452.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.