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Finding the Fourth Proportional to 4,000.92, 5,522.38 and 3,205.50

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Solution

The fourth proportional to 4,000.92, 5,522.38 and 3,205.50 is: 4,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.92 : 5,522.38 = 3,205.50 : x
  2. Step 2: Convert to fraction form
    4,000.92/5,522.38 = 3,205.50/x
  3. Step 3: Cross multiply
    4,000.92x = 5,522.38 × 3,205.50
  4. Step 4: Simplify right side
    4,000.92x = 17,701,989.09
  5. Step 5: Solve for x
    x = 17,701,989.09/4,000.92
  6. Step 6: Final answer
    x = 4,424.48

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Half scale
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Double scale
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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.