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Finding the Fourth Proportional to 5,584.98, 7,707.40 and 3,195.18

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Solution

The fourth proportional to 5,584.98, 7,707.40 and 3,195.18 is: 4,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.98 : 7,707.40 = 3,195.18 : x
  2. Step 2: Convert to fraction form
    5,584.98/7,707.40 = 3,195.18/x
  3. Step 3: Cross multiply
    5,584.98x = 7,707.40 × 3,195.18
  4. Step 4: Simplify right side
    5,584.98x = 24,626,519.05
  5. Step 5: Solve for x
    x = 24,626,519.05/5,584.98
  6. Step 6: Final answer
    x = 4,409.42

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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.