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Finding the Fourth Proportional to 5,771.42, 7,964.16 and 3,253.62

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Solution

The fourth proportional to 5,771.42, 7,964.16 and 3,253.62 is: 4,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.42 : 7,964.16 = 3,253.62 : x
  2. Step 2: Convert to fraction form
    5,771.42/7,964.16 = 3,253.62/x
  3. Step 3: Cross multiply
    5,771.42x = 7,964.16 × 3,253.62
  4. Step 4: Simplify right side
    5,771.42x = 25,912,350.26
  5. Step 5: Solve for x
    x = 25,912,350.26/5,771.42
  6. Step 6: Final answer
    x = 4,489.77

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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.