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Finding the Fourth Proportional to 5,872.05, 8,098.73 and 5,162.39

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Solution

The fourth proportional to 5,872.05, 8,098.73 and 5,162.39 is: 7,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.05 : 8,098.73 = 5,162.39 : x
  2. Step 2: Convert to fraction form
    5,872.05/8,098.73 = 5,162.39/x
  3. Step 3: Cross multiply
    5,872.05x = 8,098.73 × 5,162.39
  4. Step 4: Simplify right side
    5,872.05x = 41,808,756.71
  5. Step 5: Solve for x
    x = 41,808,756.71/5,872.05
  6. Step 6: Final answer
    x = 7,119.96

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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.