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Finding the Fourth Proportional to 3,425.38, 5,138.07 and 828.32

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Solution

The fourth proportional to 3,425.38, 5,138.07 and 828.32 is: 1,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.38 : 5,138.07 = 828.32 : x
  2. Step 2: Convert to fraction form
    3,425.38/5,138.07 = 828.32/x
  3. Step 3: Cross multiply
    3,425.38x = 5,138.07 × 828.32
  4. Step 4: Simplify right side
    3,425.38x = 4,255,968.21
  5. Step 5: Solve for x
    x = 4,255,968.21/3,425.38
  6. Step 6: Final answer
    x = 1,242.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.