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Finding the Fourth Proportional to 3,806.10, 5,696.18 and 3,190.50

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Solution

The fourth proportional to 3,806.10, 5,696.18 and 3,190.50 is: 4,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.10 : 5,696.18 = 3,190.50 : x
  2. Step 2: Convert to fraction form
    3,806.10/5,696.18 = 3,190.50/x
  3. Step 3: Cross multiply
    3,806.10x = 5,696.18 × 3,190.50
  4. Step 4: Simplify right side
    3,806.10x = 18,173,662.29
  5. Step 5: Solve for x
    x = 18,173,662.29/3,806.10
  6. Step 6: Final answer
    x = 4,774.88

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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.