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Finding the Fourth Proportional to 5,446.33, 8,169.47 and 3,597

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Solution

The fourth proportional to 5,446.33, 8,169.47 and 3,597 is: 5,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.33 : 8,169.47 = 3,597 : x
  2. Step 2: Convert to fraction form
    5,446.33/8,169.47 = 3,597/x
  3. Step 3: Cross multiply
    5,446.33x = 8,169.47 × 3,597
  4. Step 4: Simplify right side
    5,446.33x = 29,385,583.59
  5. Step 5: Solve for x
    x = 29,385,583.59/5,446.33
  6. Step 6: Final answer
    x = 5,395.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.