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Finding the Fourth Proportional to 5,834.41, 8,051.28 and 3,316.62

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Solution

The fourth proportional to 5,834.41, 8,051.28 and 3,316.62 is: 4,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.41 : 8,051.28 = 3,316.62 : x
  2. Step 2: Convert to fraction form
    5,834.41/8,051.28 = 3,316.62/x
  3. Step 3: Cross multiply
    5,834.41x = 8,051.28 × 3,316.62
  4. Step 4: Simplify right side
    5,834.41x = 26,703,072.68
  5. Step 5: Solve for x
    x = 26,703,072.68/5,834.41
  6. Step 6: Final answer
    x = 4,576.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.