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Finding the Fourth Proportional to 5,719.38, 7,893.48 and 3,201.63

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Solution

The fourth proportional to 5,719.38, 7,893.48 and 3,201.63 is: 4,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.38 : 7,893.48 = 3,201.63 : x
  2. Step 2: Convert to fraction form
    5,719.38/7,893.48 = 3,201.63/x
  3. Step 3: Cross multiply
    5,719.38x = 7,893.48 × 3,201.63
  4. Step 4: Simplify right side
    5,719.38x = 25,272,002.37
  5. Step 5: Solve for x
    x = 25,272,002.37/5,719.38
  6. Step 6: Final answer
    x = 4,418.66

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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.