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Finding the Fourth Proportional to 3,846.60, 5,769.90 and 3,822.30

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Solution

The fourth proportional to 3,846.60, 5,769.90 and 3,822.30 is: 5,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.60 : 5,769.90 = 3,822.30 : x
  2. Step 2: Convert to fraction form
    3,846.60/5,769.90 = 3,822.30/x
  3. Step 3: Cross multiply
    3,846.60x = 5,769.90 × 3,822.30
  4. Step 4: Simplify right side
    3,846.60x = 22,054,288.77
  5. Step 5: Solve for x
    x = 22,054,288.77/3,846.60
  6. Step 6: Final answer
    x = 5,733.45

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Similar ratio
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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.