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Finding the Fourth Proportional to 5,664.98, 7,817.42 and 3,147.26

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Solution

The fourth proportional to 5,664.98, 7,817.42 and 3,147.26 is: 4,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.98 : 7,817.42 = 3,147.26 : x
  2. Step 2: Convert to fraction form
    5,664.98/7,817.42 = 3,147.26/x
  3. Step 3: Cross multiply
    5,664.98x = 7,817.42 × 3,147.26
  4. Step 4: Simplify right side
    5,664.98x = 24,603,422.05
  5. Step 5: Solve for x
    x = 24,603,422.05/5,664.98
  6. Step 6: Final answer
    x = 4,343.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.