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Finding the Fourth Proportional to 5,998.29, 8,271.36 and 5,161.83

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Solution

The fourth proportional to 5,998.29, 8,271.36 and 5,161.83 is: 7,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.29 : 8,271.36 = 5,161.83 : x
  2. Step 2: Convert to fraction form
    5,998.29/8,271.36 = 5,161.83/x
  3. Step 3: Cross multiply
    5,998.29x = 8,271.36 × 5,161.83
  4. Step 4: Simplify right side
    5,998.29x = 42,695,354.19
  5. Step 5: Solve for x
    x = 42,695,354.19/5,998.29
  6. Step 6: Final answer
    x = 7,117.92

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