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Finding the Fourth Proportional to 5,568.24, 7,684.04 and 3,211.68

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Solution

The fourth proportional to 5,568.24, 7,684.04 and 3,211.68 is: 4,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.24 : 7,684.04 = 3,211.68 : x
  2. Step 2: Convert to fraction form
    5,568.24/7,684.04 = 3,211.68/x
  3. Step 3: Cross multiply
    5,568.24x = 7,684.04 × 3,211.68
  4. Step 4: Simplify right side
    5,568.24x = 24,678,677.59
  5. Step 5: Solve for x
    x = 24,678,677.59/5,568.24
  6. Step 6: Final answer
    x = 4,432.04

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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.