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Finding the Fourth Proportional to 3,549.65, 4,894.85 and 3,469.19

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Solution

The fourth proportional to 3,549.65, 4,894.85 and 3,469.19 is: 4,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.65 : 4,894.85 = 3,469.19 : x
  2. Step 2: Convert to fraction form
    3,549.65/4,894.85 = 3,469.19/x
  3. Step 3: Cross multiply
    3,549.65x = 4,894.85 × 3,469.19
  4. Step 4: Simplify right side
    3,549.65x = 16,981,147.33
  5. Step 5: Solve for x
    x = 16,981,147.33/3,549.65
  6. Step 6: Final answer
    x = 4,783.89

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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.