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Finding the Fourth Proportional to 4,697.96, 6,491.82 and 3,369.56

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Solution

The fourth proportional to 4,697.96, 6,491.82 and 3,369.56 is: 4,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.96 : 6,491.82 = 3,369.56 : x
  2. Step 2: Convert to fraction form
    4,697.96/6,491.82 = 3,369.56/x
  3. Step 3: Cross multiply
    4,697.96x = 6,491.82 × 3,369.56
  4. Step 4: Simplify right side
    4,697.96x = 21,874,544.54
  5. Step 5: Solve for x
    x = 21,874,544.54/4,697.96
  6. Step 6: Final answer
    x = 4,656.18

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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.