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Finding the Fourth Proportional to 5,316.69, 7,972.37 and 3,096.26

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Solution

The fourth proportional to 5,316.69, 7,972.37 and 3,096.26 is: 4,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.69 : 7,972.37 = 3,096.26 : x
  2. Step 2: Convert to fraction form
    5,316.69/7,972.37 = 3,096.26/x
  3. Step 3: Cross multiply
    5,316.69x = 7,972.37 × 3,096.26
  4. Step 4: Simplify right side
    5,316.69x = 24,684,516.50
  5. Step 5: Solve for x
    x = 24,684,516.50/5,316.69
  6. Step 6: Final answer
    x = 4,642.83

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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.