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Finding the Fourth Proportional to 3,651.67, 5,476.96 and 1,342.63

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Solution

The fourth proportional to 3,651.67, 5,476.96 and 1,342.63 is: 2,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.67 : 5,476.96 = 1,342.63 : x
  2. Step 2: Convert to fraction form
    3,651.67/5,476.96 = 1,342.63/x
  3. Step 3: Cross multiply
    3,651.67x = 5,476.96 × 1,342.63
  4. Step 4: Simplify right side
    3,651.67x = 7,353,500.06
  5. Step 5: Solve for x
    x = 7,353,500.06/3,651.67
  6. Step 6: Final answer
    x = 2,013.74

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Why These Related Problems?

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