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Finding the Fourth Proportional to 5,950.86, 8,211.09 and 3,853.77

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Solution

The fourth proportional to 5,950.86, 8,211.09 and 3,853.77 is: 5,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.86 : 8,211.09 = 3,853.77 : x
  2. Step 2: Convert to fraction form
    5,950.86/8,211.09 = 3,853.77/x
  3. Step 3: Cross multiply
    5,950.86x = 8,211.09 × 3,853.77
  4. Step 4: Simplify right side
    5,950.86x = 31,643,652.31
  5. Step 5: Solve for x
    x = 31,643,652.31/5,950.86
  6. Step 6: Final answer
    x = 5,317.49

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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.