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Finding the Fourth Proportional to 5,108, 7,662 and 1,410.26

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Solution

The fourth proportional to 5,108, 7,662 and 1,410.26 is: 2,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108 : 7,662 = 1,410.26 : x
  2. Step 2: Convert to fraction form
    5,108/7,662 = 1,410.26/x
  3. Step 3: Cross multiply
    5,108x = 7,662 × 1,410.26
  4. Step 4: Simplify right side
    5,108x = 10,805,412.12
  5. Step 5: Solve for x
    x = 10,805,412.12/5,108
  6. Step 6: Final answer
    x = 2,115.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.