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Finding the Fourth Proportional to 5,719.44, 7,892.46 and 3,201.42

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Solution

The fourth proportional to 5,719.44, 7,892.46 and 3,201.42 is: 4,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.44 : 7,892.46 = 3,201.42 : x
  2. Step 2: Convert to fraction form
    5,719.44/7,892.46 = 3,201.42/x
  3. Step 3: Cross multiply
    5,719.44x = 7,892.46 × 3,201.42
  4. Step 4: Simplify right side
    5,719.44x = 25,267,079.29
  5. Step 5: Solve for x
    x = 25,267,079.29/5,719.44
  6. Step 6: Final answer
    x = 4,417.75

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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.