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Finding the Fourth Proportional to 3,652.45, 5,470.92 and 3,524.57

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Solution

The fourth proportional to 3,652.45, 5,470.92 and 3,524.57 is: 5,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.45 : 5,470.92 = 3,524.57 : x
  2. Step 2: Convert to fraction form
    3,652.45/5,470.92 = 3,524.57/x
  3. Step 3: Cross multiply
    3,652.45x = 5,470.92 × 3,524.57
  4. Step 4: Simplify right side
    3,652.45x = 19,282,640.50
  5. Step 5: Solve for x
    x = 19,282,640.50/3,652.45
  6. Step 6: Final answer
    x = 5,279.37

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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.