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Finding the Fourth Proportional to 3,699.68, 5,103.24 and 2,206.56

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Solution

The fourth proportional to 3,699.68, 5,103.24 and 2,206.56 is: 3,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.68 : 5,103.24 = 2,206.56 : x
  2. Step 2: Convert to fraction form
    3,699.68/5,103.24 = 2,206.56/x
  3. Step 3: Cross multiply
    3,699.68x = 5,103.24 × 2,206.56
  4. Step 4: Simplify right side
    3,699.68x = 11,260,605.25
  5. Step 5: Solve for x
    x = 11,260,605.25/3,699.68
  6. Step 6: Final answer
    x = 3,043.67

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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.