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Finding the Fourth Proportional to 3,853.50, 5,782.44 and 3,822.18

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Solution

The fourth proportional to 3,853.50, 5,782.44 and 3,822.18 is: 5,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.50 : 5,782.44 = 3,822.18 : x
  2. Step 2: Convert to fraction form
    3,853.50/5,782.44 = 3,822.18/x
  3. Step 3: Cross multiply
    3,853.50x = 5,782.44 × 3,822.18
  4. Step 4: Simplify right side
    3,853.50x = 22,101,526.52
  5. Step 5: Solve for x
    x = 22,101,526.52/3,853.50
  6. Step 6: Final answer
    x = 5,735.44

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1.5x scale

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.