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Finding the Fourth Proportional to 4,562.17, 6,841.82 and 2,369.71

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Solution

The fourth proportional to 4,562.17, 6,841.82 and 2,369.71 is: 3,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.17 : 6,841.82 = 2,369.71 : x
  2. Step 2: Convert to fraction form
    4,562.17/6,841.82 = 2,369.71/x
  3. Step 3: Cross multiply
    4,562.17x = 6,841.82 × 2,369.71
  4. Step 4: Simplify right side
    4,562.17x = 16,213,091.93
  5. Step 5: Solve for x
    x = 16,213,091.93/4,562.17
  6. Step 6: Final answer
    x = 3,553.81

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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.