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Finding the Fourth Proportional to 5,266.40, 7,889.20 and 3,418.80

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Solution

The fourth proportional to 5,266.40, 7,889.20 and 3,418.80 is: 5,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.40 : 7,889.20 = 3,418.80 : x
  2. Step 2: Convert to fraction form
    5,266.40/7,889.20 = 3,418.80/x
  3. Step 3: Cross multiply
    5,266.40x = 7,889.20 × 3,418.80
  4. Step 4: Simplify right side
    5,266.40x = 26,971,596.96
  5. Step 5: Solve for x
    x = 26,971,596.96/5,266.40
  6. Step 6: Final answer
    x = 5,121.45

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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.