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Finding the Fourth Proportional to 4,322.84, 5,952.97 and 3,755.42

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Solution

The fourth proportional to 4,322.84, 5,952.97 and 3,755.42 is: 5,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.84 : 5,952.97 = 3,755.42 : x
  2. Step 2: Convert to fraction form
    4,322.84/5,952.97 = 3,755.42/x
  3. Step 3: Cross multiply
    4,322.84x = 5,952.97 × 3,755.42
  4. Step 4: Simplify right side
    4,322.84x = 22,355,902.60
  5. Step 5: Solve for x
    x = 22,355,902.60/4,322.84
  6. Step 6: Final answer
    x = 5,171.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.