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Finding the Fourth Proportional to 5,199.95, 7,791.70 and 4,221.26

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Solution

The fourth proportional to 5,199.95, 7,791.70 and 4,221.26 is: 6,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.95 : 7,791.70 = 4,221.26 : x
  2. Step 2: Convert to fraction form
    5,199.95/7,791.70 = 4,221.26/x
  3. Step 3: Cross multiply
    5,199.95x = 7,791.70 × 4,221.26
  4. Step 4: Simplify right side
    5,199.95x = 32,890,800.47
  5. Step 5: Solve for x
    x = 32,890,800.47/5,199.95
  6. Step 6: Final answer
    x = 6,325.22

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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.