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Finding the Fourth Proportional to 5,998.50, 8,277.93 and 3,309.65

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Solution

The fourth proportional to 5,998.50, 8,277.93 and 3,309.65 is: 4,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.50 : 8,277.93 = 3,309.65 : x
  2. Step 2: Convert to fraction form
    5,998.50/8,277.93 = 3,309.65/x
  3. Step 3: Cross multiply
    5,998.50x = 8,277.93 × 3,309.65
  4. Step 4: Simplify right side
    5,998.50x = 27,397,051.02
  5. Step 5: Solve for x
    x = 27,397,051.02/5,998.50
  6. Step 6: Final answer
    x = 4,567.32

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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.