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Finding the Fourth Proportional to 5,446.36, 7,506.84 and 4,169.80

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Solution

The fourth proportional to 5,446.36, 7,506.84 and 4,169.80 is: 5,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.36 : 7,506.84 = 4,169.80 : x
  2. Step 2: Convert to fraction form
    5,446.36/7,506.84 = 4,169.80/x
  3. Step 3: Cross multiply
    5,446.36x = 7,506.84 × 4,169.80
  4. Step 4: Simplify right side
    5,446.36x = 31,302,021.43
  5. Step 5: Solve for x
    x = 31,302,021.43/5,446.36
  6. Step 6: Final answer
    x = 5,747.33

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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.