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Finding the Fourth Proportional to 3,769.47, 5,206.41 and 3,296.16

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Solution

The fourth proportional to 3,769.47, 5,206.41 and 3,296.16 is: 4,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.47 : 5,206.41 = 3,296.16 : x
  2. Step 2: Convert to fraction form
    3,769.47/5,206.41 = 3,296.16/x
  3. Step 3: Cross multiply
    3,769.47x = 5,206.41 × 3,296.16
  4. Step 4: Simplify right side
    3,769.47x = 17,161,160.39
  5. Step 5: Solve for x
    x = 17,161,160.39/3,769.47
  6. Step 6: Final answer
    x = 4,552.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.