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Finding the Fourth Proportional to 5,967.72, 8,950.19 and 2,456.82

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Solution

The fourth proportional to 5,967.72, 8,950.19 and 2,456.82 is: 3,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.72 : 8,950.19 = 2,456.82 : x
  2. Step 2: Convert to fraction form
    5,967.72/8,950.19 = 2,456.82/x
  3. Step 3: Cross multiply
    5,967.72x = 8,950.19 × 2,456.82
  4. Step 4: Simplify right side
    5,967.72x = 21,988,993.51
  5. Step 5: Solve for x
    x = 21,988,993.51/5,967.72
  6. Step 6: Final answer
    x = 3,684.66

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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.