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Finding the Fourth Proportional to 5,802.22, 8,000.94 and 4,121.88

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Solution

The fourth proportional to 5,802.22, 8,000.94 and 4,121.88 is: 5,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.22 : 8,000.94 = 4,121.88 : x
  2. Step 2: Convert to fraction form
    5,802.22/8,000.94 = 4,121.88/x
  3. Step 3: Cross multiply
    5,802.22x = 8,000.94 × 4,121.88
  4. Step 4: Simplify right side
    5,802.22x = 32,978,914.57
  5. Step 5: Solve for x
    x = 32,978,914.57/5,802.22
  6. Step 6: Final answer
    x = 5,683.84

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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.