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Finding the Fourth Proportional to 5,584.41, 7,707.56 and 3,226.50

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Solution

The fourth proportional to 5,584.41, 7,707.56 and 3,226.50 is: 4,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.41 : 7,707.56 = 3,226.50 : x
  2. Step 2: Convert to fraction form
    5,584.41/7,707.56 = 3,226.50/x
  3. Step 3: Cross multiply
    5,584.41x = 7,707.56 × 3,226.50
  4. Step 4: Simplify right side
    5,584.41x = 24,868,426.21
  5. Step 5: Solve for x
    x = 24,868,426.21/5,584.41
  6. Step 6: Final answer
    x = 4,453.19

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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.