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Finding the Fourth Proportional to 5,683.16, 8,524.02 and 2,222.84

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Solution

The fourth proportional to 5,683.16, 8,524.02 and 2,222.84 is: 3,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.16 : 8,524.02 = 2,222.84 : x
  2. Step 2: Convert to fraction form
    5,683.16/8,524.02 = 2,222.84/x
  3. Step 3: Cross multiply
    5,683.16x = 8,524.02 × 2,222.84
  4. Step 4: Simplify right side
    5,683.16x = 18,947,532.62
  5. Step 5: Solve for x
    x = 18,947,532.62/5,683.16
  6. Step 6: Final answer
    x = 3,333.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.