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Finding the Fourth Proportional to 3,906.76, 5,869.02 and 3,405.64

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Solution

The fourth proportional to 3,906.76, 5,869.02 and 3,405.64 is: 5,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.76 : 5,869.02 = 3,405.64 : x
  2. Step 2: Convert to fraction form
    3,906.76/5,869.02 = 3,405.64/x
  3. Step 3: Cross multiply
    3,906.76x = 5,869.02 × 3,405.64
  4. Step 4: Simplify right side
    3,906.76x = 19,987,769.27
  5. Step 5: Solve for x
    x = 19,987,769.27/3,906.76
  6. Step 6: Final answer
    x = 5,116.20

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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.