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Finding the Fourth Proportional to 3,425.48, 5,138.20 and 828.40

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Solution

The fourth proportional to 3,425.48, 5,138.20 and 828.40 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.48 : 5,138.20 = 828.40 : x
  2. Step 2: Convert to fraction form
    3,425.48/5,138.20 = 828.40/x
  3. Step 3: Cross multiply
    3,425.48x = 5,138.20 × 828.40
  4. Step 4: Simplify right side
    3,425.48x = 4,256,484.88
  5. Step 5: Solve for x
    x = 4,256,484.88/3,425.48
  6. Step 6: Final answer
    x = 1,242.60

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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.