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Finding the Fourth Proportional to 5,584.37, 7,707.57 and 3,226.19

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Solution

The fourth proportional to 5,584.37, 7,707.57 and 3,226.19 is: 4,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.37 : 7,707.57 = 3,226.19 : x
  2. Step 2: Convert to fraction form
    5,584.37/7,707.57 = 3,226.19/x
  3. Step 3: Cross multiply
    5,584.37x = 7,707.57 × 3,226.19
  4. Step 4: Simplify right side
    5,584.37x = 24,866,085.26
  5. Step 5: Solve for x
    x = 24,866,085.26/5,584.37
  6. Step 6: Final answer
    x = 4,452.80

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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.