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Finding the Fourth Proportional to 3,433.69, 5,146.69 and 2,446.30

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Solution

The fourth proportional to 3,433.69, 5,146.69 and 2,446.30 is: 3,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.69 : 5,146.69 = 2,446.30 : x
  2. Step 2: Convert to fraction form
    3,433.69/5,146.69 = 2,446.30/x
  3. Step 3: Cross multiply
    3,433.69x = 5,146.69 × 2,446.30
  4. Step 4: Simplify right side
    3,433.69x = 12,590,347.75
  5. Step 5: Solve for x
    x = 12,590,347.75/3,433.69
  6. Step 6: Final answer
    x = 3,666.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.