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Finding the Fourth Proportional to 3,362.67, 4,642.11 and 2,306.16

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Solution

The fourth proportional to 3,362.67, 4,642.11 and 2,306.16 is: 3,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.67 : 4,642.11 = 2,306.16 : x
  2. Step 2: Convert to fraction form
    3,362.67/4,642.11 = 2,306.16/x
  3. Step 3: Cross multiply
    3,362.67x = 4,642.11 × 2,306.16
  4. Step 4: Simplify right side
    3,362.67x = 10,705,448.40
  5. Step 5: Solve for x
    x = 10,705,448.40/3,362.67
  6. Step 6: Final answer
    x = 3,183.62

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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.