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Finding the Fourth Proportional to 4,201.28, 5,794.62 and 4,015.16

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Solution

The fourth proportional to 4,201.28, 5,794.62 and 4,015.16 is: 5,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.28 : 5,794.62 = 4,015.16 : x
  2. Step 2: Convert to fraction form
    4,201.28/5,794.62 = 4,015.16/x
  3. Step 3: Cross multiply
    4,201.28x = 5,794.62 × 4,015.16
  4. Step 4: Simplify right side
    4,201.28x = 23,266,326.44
  5. Step 5: Solve for x
    x = 23,266,326.44/4,201.28
  6. Step 6: Final answer
    x = 5,537.91

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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.