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Finding the Fourth Proportional to 5,266.41, 7,897.42 and 2,144.30

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Solution

The fourth proportional to 5,266.41, 7,897.42 and 2,144.30 is: 3,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.41 : 7,897.42 = 2,144.30 : x
  2. Step 2: Convert to fraction form
    5,266.41/7,897.42 = 2,144.30/x
  3. Step 3: Cross multiply
    5,266.41x = 7,897.42 × 2,144.30
  4. Step 4: Simplify right side
    5,266.41x = 16,934,400.90
  5. Step 5: Solve for x
    x = 16,934,400.90/5,266.41
  6. Step 6: Final answer
    x = 3,215.55

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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.